Lazarsfeld-Mukai bundles of rank 2 on a polarized \(K3\) surface of low genus

DOI10.1007/s13226-020-0384-xzbMath1442.14119OpenAlexW3011752494MaRDI QIDQ1985915

Kenta Watanabe

Publication date: 7 April 2020

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-020-0384-x

zbMATH Keywords

\(K3\) surfaceline bundleslope stabilityBrill-Noether theoryLazarsfeld-Mukai bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28)

Cites Work

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• Counterexamples to Mercat's conjecture
• Linear systems on K3-sections
• Stability of rank-3 Lazarsfeld-Mukai bundles on K 3 surfaces
• HIGHER RANK BRILL–NOETHER THEORY ON SECTIONS OF K3 SURFACES
• Green’s conjecture for curves on arbitrary K3 surfaces
• Projective Models of K - 3 Surfaces

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