Degenerations of the moduli spaces of vector bundles on curves. II. (Generalized Gieseker moduli spaces)

DOI10.1007/BF02841533zbMath0957.14021MaRDI QIDQ1306818

Conjeevaram Srirangachari Seshadri, Donihakalu Shankar Nagaraj

Publication date: 1 March 2000

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

moduli space of stable vector bundlesprojective curves with singularities

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Vector bundles on curves and their moduli (14H60) Singularities of curves, local rings (14H20) Formal methods and deformations in algebraic geometry (14D15)

Related Items (21)

On the rationality of Nagaraj-Seshadri moduli space ⋮ A Gieseker type degeneration of moduli stacks of vector bundles on curves ⋮ Bubble tree compactification of moduli spaces of vector bundles on surfaces ⋮ A canonical decomposition of generalized theta functions on the moduli stack of Gieseker vector bundles ⋮ Torsors on semistable curves and degenerations ⋮ Existence of semistable vector bundles with fixed determinants ⋮ Universal parabolic moduli over \(\overline{M}_{g,n}\) ⋮ Degenerations of bundle moduli ⋮ Seminormal Varieties, Torsionfree Sheaves, and Picard groups ⋮ Gromov-Witten gauge theory ⋮ Unnamed Item ⋮ On finite generation of the section ring of the determinant of cohomology line bundle ⋮ A wonderful embedding of the loop group ⋮ Compactifications of reductive groups as moduli stacks of bundles ⋮ The Picard group of the universal moduli space of vector bundles on stable curves ⋮ Degeneration of intermediate Jacobians and the Torelli theorem ⋮ Hodge conjecture for the moduli space of semi-stable sheaves over a nodal curve ⋮ A Torelli type theorem for nodal curves ⋮ Relative log-symplectic structure on a semi-stable degeneration of moduli of Higgs bundles ⋮ Principal bundles on metric graphs: the \(\operatorname{GL}_n\) case ⋮ Weak approximation over function fields

Cites Work

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• Degenerations of the moduli spaces of vector bundles on curves. I
• Geometric reductivity over arbitrary base
• Lectures on introduction to moduli problems and orbit spaces
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Moduli-stacks for bundles on semistable curves
• Space of unitary vector bundles on a compact Riemann surface
• The irreducibility of the space of curves of a given genus

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