Stability of rank-3 Lazarsfeld-Mukai bundles on K 3 surfaces

DOI10.1112/plms/pds087zbMath1278.14053arXiv1112.2938OpenAlexW3102305352MaRDI QIDQ2843977

Margherita Lelli-Chiesa

Publication date: 27 August 2013

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2938

zbMATH Keywords

linear systems\(K3\) surfacesBrill-Noether theorystable bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28) Vector bundles on curves and their moduli (14H60) Divisors, linear systems, invertible sheaves (14C20) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (15)

On the splitting of Lazarsfeld-Mukai bundles on \(K3\) surfaces. II. ⋮ Ulrich Bundles on Three-Dimensional Scrolls ⋮ Wall divisors and algebraically coisotropic subvarieties of irreducible holomorphic symplectic manifolds ⋮ Lazarsfeld-Mukai reflexive sheaves and their stability ⋮ Higher rank Brill—Noether theory and coherent systems open questions ⋮ Universal secant bundles and syzygies of canonical curves ⋮ A codimension 2 component of the Gieseker-Petri locus ⋮ On the splitting of Lazarsfeld-Mukai bundles on \(K3\) surfaces ⋮ Green's conjecture for curves on rational surfaces with an anticanonical pencil ⋮ Generalized Lazarsfeld-Mukai bundles and a conjecture of Donagi and Morrison. ⋮ Severi varieties and Brill-Noether theory of curves on abelian surfaces ⋮ Lazarsfeld-Mukai bundles of rank 2 on a polarized \(K3\) surface of low genus ⋮ Curves on surfaces with trivial canonical bundle ⋮ Brill-Noether general \(K3\) surfaces with the maximal number of elliptic pencils of minimal degree ⋮ Semistability of Lazarsfeld–Mukai bundles via parabolic structures

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