Rationality of moduli spaces of vector bundles on rational surfaces

DOI10.1017/S0027763000008138zbMath1020.14012OpenAlexW1664197773MaRDI QIDQ4545208

Laura Costa, Rosa Maria Miró-Roig

Publication date: 14 August 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000008138

zbMATH Keywords

rational surfacesHirzebruch surfacesrationality for moduli varieties

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and ruled surfaces (14J26) Rational and unirational varieties (14M20) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (max. 100)

Rank-two vector bundles on Hirzebruch surfaces ⋮ Cubic symmetroids and vector bundles on a quadric surface ⋮ Prioritary omalous bundles on Hirzebruch surfaces ⋮ Ulrich bundles on some threefold scrolls over \(\mathbb{F}_e\) ⋮ Green's conjecture for curves on rational surfaces with an anticanonical pencil ⋮ Rank-two vector bundles on non-minimal ruled surfaces ⋮ Characterization of Ulrich bundles on Hirzebruch surfaces ⋮ Brill-Noether theory on Hirzebruch surfaces ⋮ Moduli spaces of stable bundles on Calabi-Yau varieties and Donaldson-Thomas invariants ⋮ Geometry of some moduli of bundles over a very general sextic surface for small second Chern classes and Mestrano-Simpson conjecture

Cites Work

• Unnamed Item
• Equivalence classes of polarizations and moduli spaces of sheaves
• On the moduli of vector bundles on an algebraic surface
• On the rationality of moduli spaces of vector bundles on Fano surfaces
• Generic fibres on the projective plane
• Moduli of vector bundles on projective surfaces: Some basic results
• Stable vector bundles on an algebraic surface
• Moduli of high rank vector bundles over surfaces

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