Katedra Teorii Osobliwości - lista publikacji

Tame topology in Hensel minimal structures, Annals of Pure and Applied Logic vol. 176 (2025), 103540, 22 strony

2024

620.

Spaces of maps between real algebraic varieties, Bulletin of the London Mathematical Society (2024), 11 pages

619.

On the Laplace equation on bounded subanalytic manifolds, Calculus of Variations and Partial Differential Equations vol. 63, article no. 236 (2024), 20pp

618.

Lev Birbrair, Nivaldo G Grulha, Miriam S Pereira

A perspective of Cidinha’s research works, Sao Paulo Journal of Mathematical Sciences (2024), online first

617.

Lev Birbrair, Rodrigo Mendes

Multi-K-bi-Lipschitz equivalence in dimension two, Sao Paulo Journal of Mathematical Sciences (2024), online first

616.

Sławomir Rams, Alexander Degtyarev

Lines on K3–Quartics Via Triangular Sets, Discrete and Computational Geometry (2024), 30 stron

615.

Non-Archimedean resonances of Łojasiewicz inequalities, Banach Center Publications vol. 128 (2024), 153-166

614.

Wojciech Kucharz, Krzysztof Kurdyka

On a theorem of Forelli in a non-standard setting, Banach Center Publications vol. 128 (2024), 127-134

613.

Tomasz Kowalczyk, Piotr Miska

On Waring numbers of henselian rings, Mathematika vol. 70 (4) (2024), pp. 28, artcile no. e12276

612.

Trace operators on bounded subanalytic manifolds, Selecta Mathematica-New Series vol. 30, paper no. 54 (2024), 29 pp

611.

On Sobolev spaces of bounded subanalytic manifolds, Mathematische Annalen vol. 390 (2024), 2413–2457

610.

Tomasz Kowalczyk, Kacper Błachut

Sums of squares on hypersurfaces, Results in Mathematics vol. 79 (2024), article number 90

609.

Beata Kocel-Cynk, Wiesław Pawłucki, Anna Valette

Semialgebraic Calderon-Zygmund Theorem on Regularization of the Distance Function, Mathematische Annalen vol. 390 (2024), 1863 - 1883

608.

Wojciech Kucharz, Marcin Bilski, Jacek Bochnak

Algebraic versions of Hartogs' theorem, Communications in Contemporary Mathematics vol. 26, No.10, Paper No. 2350066 (2024), 13 pp.

607.

Approximation and homotopy in regulous geometry, Compositio Mathematica vol. 160 (2024), 1-20

606.

Marcin Bilski, Jacek Bochnak, Wojciech Kucharz

Hartogs-type theorems in real algebraic geometry, II, Mathematische Annalen vol. 389 (2024), 3747-3768

605.

Strict C^p-triangulations of sets locally definable in o-minimal structures with an application to a C^p-approximation problem., Revista Matematica Complutense (2024),

Dominating real algebraic morphisms, Journal of Pure and Applied Algebra vol. 228 (2024), 107467, 5 pp.

604.

Wiesław Pawłucki

2023

603.

Adam Białożyt, Anna Denkowska, Maciej Denkowski

The Kuratowski convergence of medial axis and conflict sets , Annali della Scuola normale superiore di Pisa - Classe di scienze (2023), 21

602.

Lev Birbrair, Andrei Gabrielov

Lipschitz Geometry of Real Semialgebraic Surfaces, (2023), "Handbook of Geometry and Topology of Singularities IV ", Springer

601.

Lev Birbrair, Michael Brandenbursky, Andrei Gabrielov

Lipschitz geometry of surface germs in R^4: metric knots, Selecta Mathematica-New Series vol. 29 (2023), pp 20, article number 43

600.

Maciej Denkowski, Karolina Zając

A criterion for singular complex analytic germs not to be Lipschitz normally embedded, Sao Paulo Journal of Mathematical Sciences (2023),

599.

Regular Vectors and Bi-Lipschitz Trivial Stratifications in O-Minimal Structures, (2023), "Handbook of Geometry and Topology of Singularities IV", Springer

598.

A remark on C∞ definable equivalence, Annales Polonici Mathematici vol. 131.1 (2023), 79-84

597.

Beata Kocel-Cynk, Wiesław Pawłucki, Anna Valette

Approximation of singular semialgebraic sets by smooth ones with respect to the Hausdorff metric, Bulletin des Sciences Mathematiques vol. 185 (2023), 103270

596.

Wojciech Kucharz, Krzysztof Kurdyka

Regulous functions over real closed fields, International Mathematics Research Notices vol. 2023, No. 3 (2023), 2649-2664

595.

Uniform Poincare inequality in o-minimal structures, Mathematical Inequalities and Applications vol. 26 (2023), 141-150

594.

Wiesław Pawłucki

Strict C^p-triangulations -- a new approach to desingularization, Journal of the European Mathematical Society vol. 26 (2023), 3863–3909

593.

Adam Białożyt

The tangent cone, the dimension and the frontier of the medial axis, Nonlinear Differential Equations and Applications vol. 30 (2023), 29

592.

Juliusz Banecki, Tomasz Kowalczyk

Sums of even powers of k-regulous functions, Indagationes Mathematicae vol. 34 (2023), 477-487

591.

Wojciech Kucharz, Krzysztof Kurdyka

Analytic functions and Nash functions along curves, Selecta Mathematica-New Series vol. 29, no. 1, Paper No. 16 (2023), 12 pp.

590.

Sławomir Rams, Matthias Schuett

24 rational curves on K3 surfaces, Communications in Contemporary Mathematics vol. Vol 25, No. 6 (2023), 2250008 (23 pages)

589.

Thomas Bauer, Sławomir Rams

Counting lines on projective surfaces, Annali della Scuola normale superiore di Pisa - Classe di scienze vol. XXIV (2023), 1285-1299

588.

Wojciech Kucharz, Krzysztof Kurdyka

A Bochnak-Siciak theorem for Nash functions over real closed fields, Israel Journal of Mathematics vol. 255 (2023), 811-820

587.

Jacek Bochnak, Wojciech Kucharz

Rational approximation of holomorphic maps, Annales de l'Institut Fourier vol. 73, 3 (2023), 1115-1131

586.

Simon Brandhorst, Sławomir Rams, Ishiro Shimada

On characteristic polynomials of automorphisms of Enriques surfaces, Publications of the Research Institute for Mathematical Sciences vol. 59 (2023), 633–656

2022

585.

Lev Birbrair, Andrei Gabrielov

Lipschitz geometry of pairs of normally embedded Hölder triangles, European Journal of Mathematics vol. 8 (2022), 766-791

584.

Polynomial inequalities, o-minimality and Denjoy–Carleman classes, Advances in Mathematics vol. 407 (2022), 1-61

583.

Marcin Bilski, Jacek Bochnak, Wojciech Kucharz

Hartogs-type theorems in real algebraic geometry, I, Journal für die Reine und Angewandte Mathematik vol. 790 (2022), 197-221

582.

Jacek Bochnak, Wojciech Kucharz

On approximation of maps into real algebraic homogeneous spaces, Journal des Mathematiques Pures et Appliquees vol. 161 (2022), 111-134

581.

Some open questions in real algebraic geometry, Proyecciones, Journal of Mathematics vol. 41 (2022), 437-448

580.

Jacek Bochnak, Wojciech Kucharz

Algebraic surfaces determine analyticity of functions, Archiv der Mathematik vol. 118 (2022), 57-63

579.

Marcin Bilski, Peter Scheiblechner

Effective approximation of the solutions of algebraic equations, Journal of Symbolic Computation vol. 109 (2022), 144-176

2021

578.

Anna Denkowska, Maciej Denkowski

The Bernstein-Walsh-Siciak Theorem for analytic hypersurfaces, Dolomites Research Notes on Approximation vol. 14 no. 3 (2021), 53-58

577.

Natalia Chmiel

Actual and virtual dimension of codimension 2 general linear subspaces in $${\mathbb {P}}^n$$, Geometriae Dedicata vol. 215(1) (2021), 51-68

576.

Sławomir Rams, Matthias Schuett

Twelve Rational curves on Enriques surfaces , Research in the Mathematical Sciences vol. 8 (2021), Article number; 22, 22 p.

575.

Approximations in globally subanalytic and Denjoy-Carleman classes, Advances in Mathematics vol. 385 (2021), 107764

574.

Poincaré Inequality on Subanalytic Sets, Journal of Geometric Analysis vol. 31 (2021), 10464–10472

573.

Poincaré duality for L^p cohomology on subanalytic singular spaces, Mathematische Annalen vol. 380 (2021), 789–823

572.

Ali El-Siblani, Wojciech Kucharz, Krzysztof Kurdyka

Separately Nash and arc-Nash functions over real closed fields, Bulletin of the London Mathematical Society vol. 53, Issue 2 (2021), 426-441

571.

Wojciech Kucharz, Krzysztof Kurdyka

Arc-meromorphous functions, Annales Polonici Mathematici vol. 127.1-2 (2021), 51-62

570.

Wojciech Kucharz, Krzysztof Kurdyka

Rational representation of real functions, Pure and Applied Mathematics Quarterly vol. 17, no. 1 (2021), 249-268

569.

Geometry of holomorphic mappings and Hölder continuity of the pluricomplex Green function, Mathematische Annalen vol. 379 (2021), 1363-1393

568.

Remke Kloosterman , Sławomir Rams

Quintic threefolds with triple points, Communications in Contemporary Mathematics vol. 23 (2021), 1950085

567.

Jacek Bochnak, Janusz Gwoździewicz, Wojciech Kucharz

Criteria for algebraicity of analytic functions, International Mathematics Research Notices vol. 2021, Issue 5 (2021), 3314-3330

2020

566.

A closedness theorem over Henselian fields with analytic structure and its applications, Banach Center Publications vol. 121 (2020), 141-149

565.

Leonhardi Euleri Opera Omnia IVA/7: Commercium Epistolicum (Euler – French speaking scientists from Switzerland). Editors: S. Bodenmann, V. Hug, M. Ilić, A. Kleinert. Basel: Birkhäuser, 2017, XII+621 pages – A volume overview, Studia Historiae Scientiarum vol. 19 (2020), 545-560

564.

Adam Białożyt, Maciej Denkowski, Piotr Tworzewski

On the Nullstellensatz for c-holomorphic functions with algebraic graphs, Annales Polonici Mathematici vol. 125 (2020), 1-11

563.

Wojciech Kucharz, Krzysztof Kurdyka

Comparison of stratified-algebraic and topological K-theory, Journal of Singularities vol. 22 (2020), 321-336

562.

On linear equations with polynomial coefficients, Banach Center Publications vol. 121 (2020), 79-84

561.

Marcin Bilski, Wojciech Kucharz

Approximation by piecewise-regular maps, Advances in Mathematics vol. 375 (2020), 107350, 20 pages

560.

Marcin Dumnicki, Łucja Farnik, Brian Harbourne, Tomasz Szemberg, Halszka Tutaj-Gasińska

Veneroni maps, Proceedings of National School On Algebra, Constanta 2018. (2020), 14

559.

On continuous rational functions, (2020), "Singularities-Kagoshima 2017: Proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singylarities-Kagoshima, Japan, 27 October-3 November 2017", World Scientific Publishing

558.

A closedness theorem and applications in geometry of rational points over Henselian valued fields, Journal of Singularities vol. 21 (2020), 212-233

557.

Marcin Dumnicki, Łucja Farnik, Brian Harbourne, Grzegorz Malara, Justyna Szpond, Halszka Tutaj-Gasińska

A matrixwise approach to unexpected surfaces, Linear Algebra and Its Applications vol. 592 (2020), 113-133

556.

Sławomir Rams, Matthias Schuett

Counting lines on surfaces, especially quintics, Annali della Scuola normale superiore di Pisa - Classe di scienze vol. Vol. XX, issue 3 (2020), 859-890

555.

Marcin Bilski

Approximation of maps into spheres by piecewise-regular maps of class C^k, Mathematische Annalen vol. 378 (2020), 763-776

554.

Jacek Bochnak, János Kollár, Wojciech Kucharz

Checking real analyticity on surfaces, Journal des Mathematiques Pures et Appliquees vol. 133 (2020), 167-171

2019

553.

When the medial axis meets the singularities, (2019), "Analytic and Algebraic Geometry 3", Wydawnictwo Uniwersytetu Łódzkiego

552.

Definable transformation to normal crossings over Henselian fields with separated analytic structure, vol. SYMMETRY-BASEL 11 (7) (2019), 934

551.

Tomasz Kowalczyk

Blown-up Cech Cohomology and Cartan's Theorem B on Real Algebraic Varieties, International Journal of Mathematics vol. 30 (2019), 1950042

550.

Jacek Bochnak, Wojciech Kucharz

Global variants of Hartogs' theorem, Archiv der Mathematik vol. 113 (2019), 281-290

549.

Beata Kocel-Cynk, Wiesław Pawłucki, Anna Valette

Semialgebraic version of Whitney's extension theorem, Archiv der Mathematik vol. 113 (2019), 59-62

548.

Wiesław Pawłucki, Zofia Rożen

An Algorithm for Regular Solutions of Systems of Exp-Subanalytic Equations and O-minimality of R_{an,exp}, Journal of Algebra and its Applications vol. 18 No. 4 (2019), 1950078

547.

Jacek Bochnak, Wojciech Kucharz

Sharpening a theorem of Forelli, Annales Polonici Mathematici vol. 123 (2019), 197-201

546.

Anna Valette

Lojasiewicz inequality at singular points, Proceedings of the American Mathematical Society vol. 147 (2019), 1109-1117

545.

Beata Kocel-Cynk, Wiesław Pawłucki, Anna Valette

C^p-parametrization in o-minimal structures, Canadian Mathematical Bulletin vol. 62 (1) (2019), 99-108

544.

Mohammad Zaman Fashami, Marcin Dumnicki, Justyna Szpond, Halszka Tutaj-Gasińska

Lower bounds for Waldschmidt constants of generic lines in P^3 and a Chudnovsky-type theorem, Mediterranean Journal of Mathematics vol. 16 (2019), 1-15

543.

Łucja Farnik, Jakub Kabat, Magdalena Lampa-Baczyńska, Halszka Tutaj-Gasińska

Containment problem and combinatorics, Journal of Algebraic Combinatorics vol. 50 (2019), 39-47

542.

Maciej Denkowski, Mihai Tibar

Testing Lipschitz non normally embedded complex spaces, Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie vol. 62 (110) no. 2 (2019), 93-100

2018

541.

Wojciech Kucharz, Krzysztof Kurdyka

From continuous rational to regulous functions, (2018), "Proceedings of the International Congress of Mathematicians - Rio de Janeiro 2018. Vol. II. Invited lectures, 719-747, World Sci. Publ., Hackensack, NJ, 2018", World Scientific Publishing

540.

Tomasz Kowalczyk

A version of Cartan’s Theorem A for coherent sheaves on real affine varieties, International Journal of Mathematics vol. 29 (2018), 1850058

539.

Małgorzata Czapla, Wiesław Pawłucki

Strict C^1-triangulations in o-minimal structures, Topological Methods in Nonlinear Analysis vol. 52 No 2 (2018), 739-747

538.

Viet Nhan Nguyen, Guillaume Valette

Whitney stratifications and the continuity of local Lipschitz Killing curvatures, Annales de l'Institut Fourier vol. 68 no.5 (2018), 2253-2276

537.

Nowe trendy w rzeczywistej geometrii algebraicznej, Wiadomości Matematyczne vol. 54(1) (2018), 1-22

536.

Yuya Matsumoto, Hisanori Ohashi, Sławomir Rams

On automorphisms of Enriques surfaces and their entropy, Mathematische Nachrichten vol. 232 (2018), 2084-2098

535.

Anna Valette

Nash triviality and generalized critical values, Annales Polonici Mathematici vol. 121, no. 1 (2018), 85–90

534.

Łucja Farnik, Jakub Kabat, Magdalena Lampa-Baczyńska, Halszka Tutaj-Gasińska

On the parameter space of Böröczky configurations, International Journal of Algebra and Computation vol. 28 (2018), 1231–1246

533.

Marcin Bilski, Krzysztof Kurdyka, Adam Parusiński, Guillaume Rond

Higher order approximation of analytic sets by topologically equivalent algebraic sets., Mathematische Zeitschrift vol. 288 (2018), 1361-1375

532.

Wojciech Kucharz, Maciej Zieliński

Regulous vector bundles, Mathematische Nachrichten vol. 291 (2018), 2252-2271

531.

On the complex Łojasiewicz inequality with parameter, Kodai Mathematical Journal vol. 41 (2018), 359-374

530.

Tomasz Kowalczyk

A note on Lavi’s paper “A Ganzstellensatz for semi-algebraic sets and a boundedness criterion for rational functions”, Communications in Algebra vol. 46 (2018), 1854-1858

529.

The complex gradient inequality with parameter, Monatshefte für Mathematik vol. 186, issue 1 (2018), 1-10

528.

Maciej Zieliński

Approximation of maps into spheres by regulous maps, Archiv der Mathematik vol. 110 (2018), 29-34

527.

Piecewise-regular maps, Mathematische Annalen vol. 372 (2018), 1545-1574

526.

Sławomir Rams, Matthias Schuett

AT MOST 64 LINES ON SMOOTH QUARTIC SURFACES (CHARACTERISTIC 2), Nagoya Mathematical Journal vol. 232 (2018), 76-95

525.

Sławomir Rams, Matthias Schuett

On Enriques surfaces with four cusps , Publications of the Research Institute for Mathematical Sciences vol. 54, (2018), 433-468

524.

János Kollár, Wojciech Kucharz, Krzysztof Kurdyka

Curve-rational functions, Mathematische Annalen vol. 370 (2018), 39-69

523.

Wojciech Kucharz, Krzysztof Kurdyka

Stratified-algebraic vector bundles, Journal für die Reine und Angewandte Mathematik vol. 745 (2018), 105-154

522.

Łojasiewicz-type inequalities in complex analysis, Journal d'Analyse Mathematique vol. 134 (2018), 523-544

2017

521.

Thomas Bauer, Klaus Hulek, Sławomir Rams, Alessandra Sarti, Tomasz Szemberg

Wolf Barth (1942–2016), Jahresber. Dtsch. Math.-ver. vol. 119, no. 4 (2017), 273–292

520.

A c-holomorphic effective Nullstellensatz with parameter, Universitatis Iagellonicae Acta Mathematica vol. 54 (2017), 33-41

519.

David Trotman, Guillaume Valette

On the local geometry of definably stratified sets vol. Contemporary Mathematics (2017), "Ordered algebraic structures and related topics", American Mathematical Society (AMS)

518.

Wojciech Kucharz, Krzysztof Kurdyka

Rationality of semialgebraic functions, (2017), "Analytic and Algebraic Geometry 2", Wydawnictwo Uniwersytetu Łódzkiego

517.

Zbigniew Jelonek, Wojciech Kucharz, Krzysztof Kurdyka

Vector bundles and blowups, (2017), "Analytic and Algebraic Geometry 2", Wydawnictwo Uniwersytetu Łódzkiego

516.

Maciej Denkowski, Paulina Pełszyńska

On definable multifunctions and Łojasiewicz inequalities, Journal of Mathematical Analysis and Applications vol. 456 no. 2 (2017), 1101-1122

515.

Nash regulous functions, Annales Polonici Mathematici vol. 119.3 (2017), 275-289

514.

Wojciech Kucharz, Krzysztof Kurdyka

Linear equations on real algebraic surfaces, Manuscripta Mathematica vol. 154 (2017), 285-296

513.

Łucja Farnik, Janusz Gwoździewicz, Beata Hejmej, Magdalena Lampa-Baczyńska, Grzegorz Malara, Justyna Szpond

Initial sequences and Waldschmidt constants of planar point configurations, International Journal of Algebra and Computation vol. 27(6) (2017), 717-729

512.

Małgorzata Czapla, Wiesław Pawłucki

Michael's selection theorem for a mapping definable in an O-minimal structure defined on a set of dimesion 1 , Topological Methods in Nonlinear Analysis vol. 49, No. 1 (2017), 377-380

511.

Mirosław Baran, Leokadia Białas-Cież, Raimondo Eggink, Agnieszka Kowalska, Bela Nagy, Rafał Pierzchała

Selected Open Problems in Polynomial Approximation and Potential Theory, Dolomites Research Notes On Approximation vol. 10 (2017), 161-168

510.

Lev Birbrair, Maciej Denkowski

Medial axis and singularities, Journal of Geometric Analysis vol. 27 no.3 (2017), 2339-2380

509.

Marcin Dumnicki, Halszka Tutaj-Gasińska

A containment result in $ P^n$ and the Chudnovsky Conjecture, Proceedings of the American Mathematical Society vol. 145 (2017), 3689–3694

508.

Marcin Bilski, Adam Parusiński, Guillaume Rond

Local topological algebraicity of analytic function germs, Journal of Algebraic Geometry vol. 26 (2017), 177-197

507.

Some results of algebraic geometry over Henselian rank one valued fields, Selecta Mathematica-New Series vol. 23 (2017), 455-495

506.

Łucja Farnik, Tomasz Szemberg, Justyna Szpond, Halszka Tutaj-Gasińska

Restrictions on Seshadri constants on surfaces, Taiwanese Journal of Mathematics vol. 21(1) (2017), 27-41

505.

Maciej Denkowski, Jean-Jacques Loeb

On open analytic and subanalytic mappings, Complex Variables and Elliptic Equations vol. 62 no.1 (2017), 27-46

2016

504.

Krzysztof Nowak, Grzegorz Tomkowicz

Intersection of generic rotations in some classical spaces, Bulletin of the Polish Academy of Sciences. Mathematics vol. 64 (2016), 105-107

503.

Jan Mycielski, Krzysztof Nowak

On intersections of generic perturbations of definable sets, Bulletin of the Polish Academy of Sciences. Mathematics vol. 64 (2016), 95-103

502.

Sławomir Rams, Tomasz Szemberg

When are Zariski chambers numerically determined?, Forum Mathematicum vol. 28 no. 6 (2016), 1159-1166

501.

Sur la connexité de l'axe médian, Zeszyty Naukowe Uniwersytetu Jagiellonskiego, Seria: Acta Mathematica vol. 53 (2016), 7-12

500.

A generalized Sard theorem on real closed fields, Mathematische Nachrichten vol. 289 , no 5-6 (2016), 748–755

499.

Victor Gonzalez-Alonso, Sławomir Rams

Counting Lines on Quartic Surfaces, Taiwanese Journal of Mathematics vol. 20 (2016), 769–785

498.

Małgorzata Czapla, Wiesław Pawłucki

Michael's theorem for Lipschitz cells in o-minimal structures, Annales Polonici Mathematici vol. 117 (2016), 101-107

497.

Ewa Cygan, Maciej Denkowski

Singular points of weakly holomorphic functions, Bulletin des Sciences Mathematiques vol. 140 issue 6 (2016), 657-674

496.

A remark on the intersections of subanalytic leaves, Opuscula Mathematica vol. 36 no.4 (2016), 471-479

495.

Stratified-algebraic vector bundles of small rank, Archiv der Mathematik vol. 107 (2016), 239-249

494.

Wojciech Kucharz, Krzysztof Kurdyka

Some conjectures on continuous rational maps int spheres, Topology and its Applications vol. 208 (2016), 17-29

493.

Zbigniew Jelonek, Wojciech Kucharz

On smooth hypersurfaces containing a given subvariety, Manuscripta Mathematica vol. 150 (2016), 407-413

492.

Continuous rational maps into spheres, Mathematische Zeitschrift vol. 283 (2016), 1201-1215

491.

Łucja Farnik

On k-jet ampleness of line bundles on hyperelliptic surfaces, Mediterranean Journal of Mathematics vol. 13(6) (2016), 4783-4804

490.

Łucja Farnik

A note on Seshadri constants of line bundles on hyperelliptic surfaces, Archiv der Mathematik vol. 107(3) (2016), 227-237

489.

Marcin Dumnicki, Łucja Farnik, Halszka Tutaj-Gasińska

Asymptotic Hilbert Polynomial and a bound for Waldschmidt constants, Electronic Research Announcements in Mathematical Sciences vol. 23 (2016), 8-18

488.

Piotr Pokora, Halszka Tutaj-Gasińska

Harbourne constants and conic configurations on the projective plane, Mathematische Nachrichten vol. 289 (2016), 888–894

487.

Adam Czapliński, Marcin Dumnicki, Łucja Farnik, Janusz Gwoździewicz, Magdalena Lampa-Baczyńska, Grzegorz Malara, Tomasz Szemberg, Justyna Szpond, Halszka Tutaj-Gasińska

On the Sylvester-Gallai theorem for conics, Rendiconti del Seminario Matematico dell Universita di Padovo vol. 136 (2016), 191–203

486.

Markov’s inequality and polynomial mappings, Mathematische Annalen vol. 366 (2016), 57-82

485.