On translated rank-\(2\) Brill-Noether loci on regular surfaces

DOI10.1007/s00013-021-01700-2zbMath1487.14091OpenAlexW4213094190MaRDI QIDQ2113945

Laura Filimon

Publication date: 14 March 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01700-2

zbMATH Keywords

vector bundlesprojective surfaceBrill-Noether loci

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and ruled surfaces (14J26) (K3) surfaces and Enriques surfaces (14J28)

Cites Work

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• Equivalence classes of polarizations and moduli spaces of sheaves
• Brill-Noether theory on Hirzebruch surfaces
• Birational properties of moduli spaces of stable locally free rank-2 sheaves on algebraic surfaces
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Algebraic surfaces and holomorphic vector bundles
• Holomorphic vector bundles over compact complex surfaces
• Moduli spaces of stable rank-2 bundles on ruled surfaces
• Nonemptiness and smoothness of twisted Brill-Noether loci
• Brill-Noether theory for moduli spaces of sheaves on algebraic varieties
• Deformation Theory
• Moduli spaces of vector bundles over ruled surfaces
• Stable rank-2 vector bundles over ruled surfaces

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