Quasi-complete intersections in \(\mathbb{P}^2\) and syzygies

DOI10.1007/s12215-019-00437-wzbMath1457.14074arXiv1902.05472OpenAlexW2966988153MaRDI QIDQ2657336

Philippe Ellia

Publication date: 12 March 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05472

zbMATH Keywords

syzygiesplane curvesvector bundleglobal Tjurina numberquasi complete intersections

Mathematics Subject Classification ID

Plane and space curves (14H50) Syzygies, resolutions, complexes and commutative rings (13D02) Linkage (14M06) Low codimension problems in algebraic geometry (14M07)

Related Items (1)

Jacobian syzygies, fitting ideals, and plane curves with maximal global Tjurina numbers

Uses Software

• SINGULAR

Cites Work

• The local cohomology of the Jacobian ring
• Syzygies and logarithmic vector fields along plane curves
• Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\)
• Homology of homogeneous divisors
• Saturation of Jacobian ideals: some applications to nearly free curves, line arrangements and rational cuspidal plane curves
• Quasi-complete intersections and global Tjurina number of plane curves
• Freeness of hyperplane arrangements and related topics
• Application of the theory of the discriminant to highly singular plane curves
• Koszul Complexes and Hypersurface Singularities
• The Geometry of Syzygies
• On Some Conjectures About Free and Nearly Free Divisors
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