The non-Lefschetz locus of vector bundles of rank 2 over \(\mathbb{P}^2\)

DOI10.1016/j.jalgebra.2023.03.044arXiv2110.02377OpenAlexW4367300202MaRDI QIDQ6162855

Emanuela Marangone

Publication date: 26 June 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.02377

zbMATH Keywords

Artinian modulesweak Lefschetz propertyjumping linesrank 2 vector bundlenon-Leschetz locus

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Graded rings (13A02) Syzygies, resolutions, complexes and commutative rings (13D02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Sheaves in algebraic geometry (14F06)

Cites Work

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• Vector bundles on complex projective spaces. With an appendix by S. I. Gelfand
• Syzygy bundles on \(\mathbb P^2\) and the weak Lefschetz property
• Geometric invariants for liaison of space curves
• Stable rank-2 vector bundles on \(\mathbb{P}_2\) with \(c_1\) odd
• The non-Lefschetz locus
• The weak and strong Lefschetz properties for Artinian \(K\)-algebras
• On the weak Lefschetz property for vector bundles on \(\mathbb{P}^2\)
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• On Complete Intersections and Their Hilbert Functions
• Some notes and corrections of the paper ``The non-Lefschetz locus

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