Splitting types of bundles of logarithmic vector fields along plane curves

DOI10.1142/S0129167X18500556zbMath1394.14020arXiv1706.05146WikidataQ129613004 ScholiaQ129613004MaRDI QIDQ4577836

Takuro Abe, Alexandru Dimca

Publication date: 3 August 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05146

zbMATH Keywords

plane curvesfreenessline arrangementlogarithmic vector fieldsplitting typenear freenessMilnor and Tjurina numbers

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Special algebraic curves and curves of low genus (14H45)

Related Items (18)

On the jumping lines of bundles of logarithmic vector fields along plane curves ⋮ Unexpected curves in \(\mathbb{P}^2\), line arrangements, and minimal degree of Jacobian relations ⋮ The module of logarithmic derivations of a generic determinantal ideal ⋮ On the minimal value of global Tjurina numbers for line arrangements ⋮ On the Hilbert vector of the Jacobian module of a plane curve ⋮ On 3-syzygy and unexpected plane curves ⋮ Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting) ⋮ On supersolvable and nearly supersolvable line arrangements ⋮ Nearly free curves and arrangements: a vector bundle point of view ⋮ On rational cuspidal plane curves and the local cohomology of Jacobian rings ⋮ Addition-deletion results for the minimal degree of logarithmic derivations of hyperplane arrangements and maximal Tjurina line arrangements ⋮ Saturation of Jacobian ideals: some applications to nearly free curves, line arrangements and rational cuspidal plane curves ⋮ Freeness for 13 lines arrangements is combinatorial ⋮ Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves ⋮ Higher order Jacobians, Hessians and Milnor algebras ⋮ Line arrangements and configurations of points with an unexpected geometric property ⋮ Line and rational curve arrangements, and Walther's inequality ⋮ The 21 Reducible Polars of Klein’s Quartic

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