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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Verlinde bundles and generalized theta linear series


Author: Mihnea Popa
Journal: Trans. Amer. Math. Soc. 354 (2002), 1869-1898
MSC (2000): Primary 14H60; Secondary 14J60
Published electronically: November 5, 2001
MathSciNet review: 1881021
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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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Additional Information

Mihnea Popa
Affiliation: Department of Mathematics, University of Michigan, 525 East University, Ann Arbor, Michigan 48109-1109; Institute of Mathematics of the Romanian Academy, Bucharest, Romania
Address at time of publication: Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
Email: mpopa@math.harvard.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-01-02923-3
PII: S 0002-9947(01)02923-3
Keywords: Vector bundles, nonabelian theta functions
Received by editor(s): March 1, 2001
Published electronically: November 5, 2001
Article copyright: © Copyright 2001 American Mathematical Society