PP
Piotr Pokora
math.AGmath.COmath.ACmath.ATmath.GTmath.RA
On Valency
published · living versionsW_mnvswsbv·v1 · currentpublished
Preprints & journals
73 papers in the corpus · 2013–2026There are no Miyaoka--Kobayashi octics2610.28135v1 · Alexandru Dimca, Piotr Pokora2026 · 0 citationsarXivon Valency
Topological inequalities for conic-line arrangements with some prescribed singularities2610.12192v1 · Marco Golla, Piotr Pokora2026 · 0 citationsarXiv
Lifting negative curves from finite fields and Seshadri constants at ten points2610.06225v1 · Piotr Pokora, Tomasz Szemberg2026 · 0 citationsarXiv
A generalized Terao Conjecture for line arrangements2609.33584v2 · Alexandru Dimca, Piotr Pokora2026 · 0 citationsarXiv
Demailly's Inequality for Finite Sets of Points in Positive Characteristic2609.16337v1 · Piotr Pokora, Tomasz Szemberg2026 · 0 citationsarXiv
Simplicial arrangements in real projective three-space revisited2608.28254v1 · Marek Janasz, Piotr Pokora2026 · 0 citationsarXiv
On the Numerical Terao Conjecture2608.05662v3 · Piotr Pokora2026 · 0 citationsarXiv
A counterexample to Purdy's inequality for hyperplane arrangements in projective three-space2607.08463v1 · Mateusz Micha\lek, Piotr Pokora2026 · 0 citationsarXiv
A -configuration on the Schur quartic with logarithmic Chern slope 2607.07898v1 · Bartosz Naskrecki, Piotr Pokora2026 · 0 citationsarXiv
A nine-line counterexample to a conjecture on the minimal degree of Jacobian relations2607.01985v2 · Alexandru Dimca, Piotr Pokora2026 · 0 citationsarXiv
On Ziegler pairs of line arrangements: from non-existence to abundance2606.20421v4 · Alexandru Dimca, Piotr Pokora2026 · 0 citationsarXiv
A Pascal-type construction of the Segre cubic and the Cremona--Richmond configuration2606.18387v1 · Piotr Pokora, Tomasz Szemberg2026 · 0 citationsarXiv
On combinatorial bounds for the total Tjurina numbers of certain curves and surfaces with isolated singularities2602.21982v5 · Piotr Pokora2026 · 0 citationsMathematische Nachrichten 299(10): 2751 - 2759 (2026)
On -arrangements of conics and lines with ordinary singularities2512.24707v2 · Marek Janasz, Piotr Pokora2025 · 0 citationsarXiv
Addition theorems for Ziegler pairs of hyperplane arrangements2509.19011v2 · Takuro Abe, Lukas Kuhne, Piotr Pokora2025 · 0 citationsarXiv
On plus-one generated arrangements of plane conics2507.23024v4 · Artur Bromboszcz, Bartosz Jaros\lawski, Piotr Pokora2025 · 0 citationsarXiv
Free line arrangements with low maximal multiplicity2505.01733v4 · Alexandru Dimca, Lukas Kuhne, Piotr Pokora2025 · 0 citationsJ. Algebr. Comb. 63: Article Number 45 (2026)
On homological properties of some Cynk-Szemberg octic hyperplane arrangements2502.17031v4 · Marek Janasz, Piotr Pokora2025 · 0 citationsJ. Korean Math. Soc. 63(4): 753 - 771 (2026)
On the addition technique for Betti and Poincaré polynomials of plane curves2501.05447v3 · Piotr Pokora2025 · 0 citationsBull. Pol. Acad. Sci. Math. 72(2): 111 - 118 (2024)
On the geography of log-surfaces2412.14635v2 · Bartosz Naskrecki, Piotr Pokora2024 · 0 citationsarXiv
On Poincaré polynomials for plane curves with quasi-homogeneous singularities2412.08436v5 · Piotr Pokora2024 · 4 citationsBulletin of the London Mathematical Society 57(8): 2549 - 2560 (2025)
A new hierarchy for complex plane curves2410.11479v3 · Takuro Abe, Alexandru Dimca, Piotr Pokora2024 · 1 citationCanadian Mathematical Bulletin (2026)
On the numerical Terao's conjecture and Ziegler pairs for line arrangements2407.07070v2 · Lukas Kuhne, Dante Luber, Piotr Pokora2024 · 1 citationJournal of Commutative Algebra 18(3): 283 - 297 (2026)
Defect of irreducible plane curves with simple singularities2404.03341v2 · Piotr Pokora2024 · 0 citationsAnn. Pol. Math. 135: 295 - 303 (2025)
Construction of free arrangements using point-line operators2403.20024v3 · Piotr Pokora, Xavier Roulleau2024 · 0 citationsExperimental Mathematics (2026)
Singular plane curves: freeness and combinatorics2403.13377v5 · Michael Cuntz, Piotr Pokora2024 · 1 citationInnovations in Incidence Geometry - Algebraic, Topological and Combinatorial 22(1): 47 - 65 (2025)
Bounds for characteristic numbers of conic-line arrangements in the plane2312.12950v2 · Rita Pardini, Piotr Pokora2023 · 0 citationsCollectanea Mathematica 77(3): 815-826 (2026)
Freeness of arrangements of lines and one conic with ordinary quasi-homogeneous singularities2312.13052v5 · Piotr Pokora2023 · 3 citationsTaiwanese Journal of Mathematics 29(6): 1651 - 1666 (2025)
Construction of free curves by adding osculating conics to a given cubic curve2311.08913v2 · Alexandru Dimca, Giovanna Ilardi, Grzegorz Malara et al.2023 · 2 citationsInternational Mathematical Research Notices Vol. 2025(1): Art Id. rnae273, 12 pages (2025)
Addition-deletion results for plus-one generated curves2310.19610v4 · Anca Macinic, Piotr Pokora2023 · 3 citationsJournal of Algebraic Combinatorics 60: 723 - 734 (2024)
On plus-one generated conic-line arrangements with simple singularities2309.15228v3 · Anca Macinic, Piotr Pokora2023 · 3 citationsAtti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 35(3): 349 - 364 (2024)
On K-stability of blown up along a quintic elliptic curve2309.12528v1 · Ivan Cheltsov, Piotr Pokora2023 · 1 citationAnnali dell'Universita di Ferrara 70: 1165 - 1192 (2024)
On arrangements of smooth plane quartics and their bitangents2308.16514v2 · Marek Janasz, Piotr Pokora, Marcin Zieli'nski2023 · 1 citationFundamenta Mathematicae 268: 151 - 170 (2025)
On the Alexander polynomials of conic-line arrangements2305.01450v4 · Alexandru Dimca, Piotr Pokora, Gabriel Sticlaru2023 · 0 citationsarXiv
On free and nearly free arrangements of conics admitting certain singularities2303.08584v5 · Piotr Pokora2023 · 2 citationsAnnali dell'Universita di Ferrara 70: 593 - 606 (2024)
Construction of free curves by adding lines to a given curve2301.01117v4 · Alexandru Dimca, Giovanna Ilardi, Piotr Pokora et al.2023 · 10 citationsResults in Mathematics 79: Art. Id 11, 31 pages (2024)
Klein's arrangements of lines and conics2211.15309v2 · G'abor G'evay, Piotr Pokora2022 · 2 citationsBeitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry 65: 393 - 414 (2024)
Hunting for Miyaoka-Kobayashi curves2209.14847v2 · Alexandru Dimca, Piotr Pokora2022 · 1 citationPubl. RIMS Kyoto Univ. 61(3): 315 - 333 (2025)
Maximizing curves viewed as free curves2208.13399v4 · Alexandru Dimca, Piotr Pokora2022 · 9 citationsInternational Mathematical Research Notes 2023 (22): 19156 - 19183 (2023)
-conic arrangements in the complex projective plane2203.11503v2 · Piotr Pokora2022 · 5 citationsProceedings of the American Mathematical Society 151(7): 2873 - 2880 (2023)
Special triple covers of algebraic surfaces2202.12523v1 · Nicolina Istrati, Piotr Pokora, Sonke Rollenske2022 · 0 citationsDocumenta Mathematica 27 (2022) 2301 - 2332
Algebraic properties of Levi graphs associated with curve arrangements2201.11788v4 · Piotr Pokora, Tim Romer2022 · 2 citationsResearch in the Mathematical Sciences 9: Article ID 30 (2022)
On conic-line arrangements with nodes, tacnodes, and ordinary triple points2111.12349v3 · Alexandru Dimca, Piotr Pokora2021 · 15 citationsJournal of Algebraic Combinatorics 56(2): 403 - 424 (2022)
On plane conic arrangements with nodes and tacnodes2108.04004v4 · Alexandru Dimca, Marek Janasz, Piotr Pokora2021 · 9 citationsInnov. Incidence Geom. 19 (2022) 47-58
Unexpected properties of the Klein configuration of points in 2010.08863v2 · Piotr Pokora, Tomasz Szemberg, Justyna Szpond2020 · 1 citationMichigan Math. J. 74: 599 - 615 (2024)
Conic-line arrangements in the complex projective plane2002.01760v3 · Piotr Pokora, Tomasz Szemberg2020 · 19 citationsDiscrete & Computational Geometry (2022)
On the Boucksom-Zariski decomposition for irreducible symplectic varieties and bounded negativity1911.03367v6 · MichałKapustka, Giovanni Mongardi, Gianluca Pacienza et al.2019 · 4 citationsarXiv
On submaximal curves in fake projective planes1910.06743v2 · Piotr Pokora, Halszka Tutaj-Gasinska2019 · 0 citationsJournal of Pure and Applied Algebra 225(10): ID 106709 - 9 pages (2021)
Harbourne constants, pull-back clusters and ramified morphisms1810.03926v2 · Piotr Pokora, Joaquim Ro'e2018 · 6 citationsResults in Mathematics 74(3): Article #109 (2019)
Hirzebruch-type inequalities viewed as tools in combinatorics1808.09167v4 · Piotr Pokora2018 · 4 citationsElectronic Journal of Combinatorics, 28(1): #P1.9 (2021)
Career total: 89 works. 73 are in this corpus.Showing the 50 most recent.
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