Verlinde bundles and generalized theta linear series

DOI10.1090/S0002-9947-01-02923-3zbMath0996.14015arXivmath/0002017MaRDI QIDQ2781389

Mihnea Popa

Publication date: 19 March 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0002017

zbMATH Keywords

Fourier-Mukai transformVerlinde formulageneralized theta functionstheta divisorsnon-abelian theta functionsmoduli of vector bundles on curvesVerlinde bundlespluri-theta line bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Theta functions and abelian varieties (14K25) Vector bundles on curves and their moduli (14H60)

Related Items (10)

Effective very ampleness for generalized theta divisors ⋮ The level-rank duality for non-abelian theta functions ⋮ Continuous CM-regularity of semihomogeneous vector bundles ⋮ Continuous CM-regularity and generic vanishing. With an appendix by Atsushi Ito (Okayama University) ⋮ The Verlinde bundles and the semihomogeneous Wirtinger duality ⋮ A note on the Verlinde bundles on elliptic curves ⋮ A lower bound for the dimension of the base locus of the generalized theta divisor ⋮ The strange duality conjecture for generic curves ⋮ Bundles of generalized theta functions over abelian surfaces ⋮ Dimension estimates for Hilbert schemes and effective base point freeness on moduli spaces of vector bundles on curves.

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