Brill-Noether theory for moduli spaces of sheaves on algebraic varieties

DOI10.1515/FORUM.2010.023zbMath1190.14040arXiv0807.3232OpenAlexW2963955451MaRDI QIDQ3566425

Laura Costa, Rosa Maria Miró-Roig

Publication date: 8 June 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3232

Mathematics Subject Classification ID

Related Items (7)

Geometry of certain Brill-Noether locus on a very general sextic surface and Ulrich bundles ⋮ A NOTE ON RANK TWO STABLE BUNDLES OVER SURFACES ⋮ Non-emptiness of Brill-Noether loci over very general quintic hypersurface ⋮ The cohomology of the general stable sheaf on a \(K3\) surface ⋮ A note on the existence of certain rank 2 stable bundles on very general hypersurfaces of degree at least 5 in \(\mathbb{P}^3\) ⋮ On the Segre invariant for rank two vector bundles on \(\mathbb{P}^2\) ⋮ On translated rank-\(2\) Brill-Noether loci on regular surfaces

Cites Work

• Stable rank-2 vector bundles on \(\mathbb{P}^3\) with \(c_1=0\) and \(c_2=3\)
• Irreducibility of the space of mathematical instanton bundles with rank 2 and \(c_2=4\)
• Some properties of stable rank-2 vector bundles on \(\mathbb{P}_n\)
• Stable vector bundles of rank 2 on \(P^ 3\)
• On the rationality of moduli spaces of vector bundles on Fano surfaces
• Moduli spaces of vector bundles on higher-dimensional varieties.
• Mathematical instanton bundles on P2n+1
• IRREDUCIBILITY AND SMOOTHNESS OF THE MODULI SPACE OF MATHEMATICAL 5-INSTANTONS OVER ℙ₃

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