Logarithmic vector fields for curve configurations in \(\mathbb{P}^2\) with quasihomogeneous singularities

DOI10.4310/MRL.2018.v25.n6.a14zbMath1411.14062MaRDI QIDQ2424330

Henry K. Schenck, Masahiko Yoshinaga, Hiroaki Terao

Publication date: 24 June 2019

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

Addition-Deletion theoremplane curve arrangementsquasihomogeneous singularities, freeness, logarithmic vector fields

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Planar arrangements of lines and pseudolines (aspects of discrete geometry) (52C30) Configurations and arrangements of linear subspaces (14N20)

Related Items (10)

𝒬-conic arrangements in the complex projective plane ⋮ On plane conic arrangements with nodes and tacnodes ⋮ On conic-line arrangements with nodes, tacnodes, and ordinary triple points ⋮ On the nearly freeness of conic-line arrangements with nodes, tacnodes, and ordinary triple points ⋮ Construction of free curves by adding lines to a given curve ⋮ Addition-deletion theorems for the Solomon-Terao polynomials and \(B\)-sequences of hyperplane arrangements ⋮ The module of logarithmic derivations of a generic determinantal ideal ⋮ On 3-syzygy and unexpected plane curves ⋮ Addition-deletion results for the minimal degree of logarithmic derivations of hyperplane arrangements and maximal Tjurina line arrangements ⋮ Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves

This page was built for publication: Logarithmic vector fields for curve configurations in \(\mathbb{P}^2\) with quasihomogeneous singularities