Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I

DOI10.1007/BF01459510zbMath0788.32012OpenAlexW2011841699WikidataQ125918693 ScholiaQ125918693MaRDI QIDQ1318140

Georgios D. Daskalopoulos, Richard A. Wentworth

Publication date: 12 April 1994

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

Full work available at URL: https://eudml.org/doc/165140

zbMATH Keywords

vector bundlesmoduli spacetheta functionsRiemann surfacefactorizationCR-submanifoldsholomorphic sections

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Deformations of special (e.g., CR) structures (32G07)

Related Items

A finite dimensional proof of the Verlinde formula, Factorization of rank two theta functions. II: Proof of the Verlinde formula, Scaling of conformal blocks and generalized theta functions over \(\overline{\mathcal {M}}_{g,n}\), 2+1-D topological quantum field theory and 2-D conformal field theory, Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections, Higgs fields, non-abelian Cauchy kernels and the Goldman symplectic structure, The Verlinde traces for \(SU_X(2,\xi )\) and blow-ups, Vector bundles on a nearly degenerate Riemann surface, Verlinde formulae on complex surfaces: K-theoretic invariants

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