Verlinde bundles and generalized theta linear series

Popa, Mihnea

doi:10.1090/S0002-9947-01-02923-3

Verlinde bundles and generalized theta linear series
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Trans. Amer. Math. Soc. 354 (2002), 1869-1898 Request permission

Abstract:

In this paper we approach the study of generalized theta linear series on moduli of vector bundles on curves via vector bundle techniques on abelian varieties.

We study a naturally defined class of vector bundles on a Jacobian, called Verlinde bundles, in order to obtain information about duality between theta functions and effective global and normal generation on these moduli spaces.

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