Splitting criterion for reflexive sheaves

DOI10.1090/S0002-9939-08-09367-2zbMath1139.14034arXivmath/0503710MaRDI QIDQ3506722

Masahiko Yoshinaga, Takuro Abe

Publication date: 17 June 2008

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

Full work available at URL: https://arxiv.org/abs/math/0503710

zbMATH Keywords

reflexive sheaveshyperplane restrictionSplitting criterion

Mathematics Subject Classification ID

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

Related Items (8)

Heavy hyperplanes in multiarrangements and their freeness ⋮ Recent topics of arrangements of hyperplanes ⋮ A Horrocks' theorem for reflexive sheaves ⋮ Freeness of hyperplane arrangements and related topics ⋮ Rank 2 ACM bundles on complete intersection Calabi-Yau threefolds ⋮ Moduli spaces of rank-2 ACM bundles on prime Fano threefolds ⋮ The Stability of the Family ofB₂-Type Arrangements ⋮ Framed sheaves on projective space and Quot schemes

Cites Work

• Characterization of a free arrangement and conjecture of Edelman and Reiner
• Stable reflexive sheaves
• Vector bundles on complex projective spaces
• Free arrangements of hyperplanes and unitary reflection groups
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
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