Quasi-complete intersections and global Tjurina number of plane curves

DOI10.1016/j.jpaa.2019.05.014zbMath1423.14211arXiv1901.00809OpenAlexW2963610361WikidataQ114664603 ScholiaQ114664603MaRDI QIDQ2318396

Philippe Ellia

Publication date: 15 August 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00809

zbMATH Keywords

plane curvesvector bundleglobal Tjurina numbercodimension twoquasi complete intersections

Mathematics Subject Classification ID

Plane and space curves (14H50) Linkage (14M06)

Related Items (10)

Jacobian syzygies, fitting ideals, and plane curves with maximal global Tjurina numbers ⋮ Quasi-complete intersections in \(\mathbb{P}^2\) and syzygies ⋮ Jacobian schemes of conic-line arrangements and eigenschemes ⋮ On the minimal value of global Tjurina numbers for line arrangements ⋮ On the Hilbert vector of the Jacobian module of a plane curve ⋮ Self-duality of the local cohomology of the Jacobian ring and Gherardelli's theorem ⋮ Addition-deletion results for the minimal degree of logarithmic derivations of hyperplane arrangements and maximal Tjurina line arrangements ⋮ Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves ⋮ Versality, Bounds of Global Tjurina Numbers and Logarithmic Vector Fields Along Hypersurfaces with Isolated Singularities ⋮ Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves

Cites Work

• Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves
• Stable reflexive sheaves
• On the equations defining quasi complete intersection space curves
• On the exponents of free and nearly free projective plane curves
• Free and nearly free curves vs. rational cuspidal plane curves
• Homology of homogeneous divisors
• Jacobian syzygies, fitting ideals, and plane curves with maximal global Tjurina numbers
• Genre des courbes de l'espace projectif. II
• Application of the theory of the discriminant to highly singular plane curves
• Koszul Complexes and Pole Order Filtrations
• Freeness versus maximal global Tjurina number for plane curves
• Unnamed Item
• Unnamed Item

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