Minimal rational curves on moduli spaces of stable bundles

DOI10.1007/s00208-004-0614-2zbMath1115.14027arXivmath/0310066OpenAlexW2016804392MaRDI QIDQ1772099

Xiaotao Sun

Publication date: 15 April 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310066

zbMATH Keywords

rational curvesmoduliHecke modificationsvector bundles over curves

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60)

Related Items (9)

SMALL RATIONAL CURVES ON THE MODULI SPACE OF STABLE BUNDLES ⋮ Remarks on minimal rational curves on moduli spaces of stable bundles ⋮ Hecke correspondence, stable maps, and the Kirwan desingularization ⋮ On the Hilbert scheme of the moduli space of vector bundles over an algebraic curve ⋮ Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles ⋮ Stable Higgs bundles on ruled surfaces ⋮ A Torelli theorem for moduli spaces of principal bundles over a curve ⋮ Remarks on lines and minimal rational curves ⋮ On vector bundles over moduli spaces trivial on Hecke curves

Cites Work

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• Degenerations of the moduli spaces of vector bundles on curves. I
• Deformations of the moduli space of vector bundles over an algebraic curve
• Rationally connected varieties over local fields
• The automorphism group of the moduli space of semi stable vector bundles
• Hecke curves and Hitchin discriminant
• Moduli of high rank vector bundles over surfaces

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