Addition-deletion results for the minimal degree of logarithmic derivations of hyperplane arrangements and maximal Tjurina line arrangements

DOI10.1007/s10801-020-00986-9zbMath1482.14056arXiv1908.06885OpenAlexW3101985489MaRDI QIDQ2052825

Takuro Abe, Gabriel Sticlaru, Alexandru Dimca

Publication date: 29 November 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06885

zbMATH Keywords

plane curvehyperplane arrangementlogarithmic derivationline arrangementTjurina numberJacobian relation

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Plane and space curves (14H50) Relations with arrangements of hyperplanes (32S22) Syzygies, resolutions, complexes and commutative rings (13D02) Configurations and arrangements of linear subspaces (14N20)

Related Items (6)

Hypertetrahedral arrangements ⋮ Jacobian syzygies, fitting ideals, and plane curves with maximal global Tjurina numbers ⋮ Unexpected curves in \(\mathbb{P}^2\), line arrangements, and minimal degree of Jacobian relations ⋮ On 3-syzygy and unexpected plane curves ⋮ Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves ⋮ On the Jacobian ideal of an almost generic hyperplane arrangement

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