Lazarsfeld-Mukai reflexive sheaves and their stability

DOI10.1080/00927872.2017.1354009zbMath1458.14012arXiv1705.03171OpenAlexW2964002253MaRDI QIDQ4567805

Poornapushkala Narayanan

Publication date: 20 June 2018

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

Full work available at URL: https://arxiv.org/abs/1705.03171

zbMATH Keywords

reflexive sheaves(semi)stability

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Complete intersections (14M10) Divisors, linear systems, invertible sheaves (14C20)

Related Items (1)

Semistability of Lazarsfeld–Mukai bundles via parabolic structures

Cites Work

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• About the stability of the tangent bundle of \({\mathbb{P}^n}\) restricted to a surface
• Restrictions of semistable bundles on projective varieties
• Brill-Noether-Petri without degenerations
• Stable reflexive sheaves
• The theorem of Grauert-Mülich-Spindler
• Vector bundles on complex projective spaces
• Pulling back bundles
• Normal generation of vector bundles over a curve
• Some stable vector bundles with reducible theta divisor
• Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface
• About the stability of the tangent bundle restricted to a curve
• Stability of syzygy bundles on an algebraic surface
• Stability of rank-3 Lazarsfeld-Mukai bundles on K 3 surfaces
• The elementary transformation of vector bundles on regular schemes
• Stability of line bundle transforms on curves with respect to low codimensional subspaces
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• Lazarsfeld–Mukai Bundles and Applications
• green's canonical syzygy conjecture for generic curves of odd genus

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