Verlinde bundles and generalized theta linear series

Mihnea Popa

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

Verlinde bundles and generalized theta linear series

Mihnea Popa^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 Verlínde bundles, in order to obtain information about duality between theta functions and effective global and normal generation on these moduli spaces.

Original language	English (US)
Pages (from-to)	1869-1898
Number of pages	30
Journal	Transactions of the American Mathematical Society
Volume	354
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9947-01-02923-3
State	Published - 2002

Keywords

Nonabelian theta functions
Vector bundles

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9947-01-02923-3

Cite this

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title = "Verlinde bundles and generalized theta linear series",

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 Verl{\'i}nde 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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PY - 2002

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N2 - 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 Verlínde bundles, in order to obtain information about duality between theta functions and effective global and normal generation on these moduli spaces.

AB - 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 Verlínde bundles, in order to obtain information about duality between theta functions and effective global and normal generation on these moduli spaces.

KW - Nonabelian theta functions

KW - Vector bundles

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UR - http://www.scopus.com/inward/citedby.url?scp=0035997621&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-01-02923-3

DO - 10.1090/S0002-9947-01-02923-3

M3 - Article

AN - SCOPUS:0035997621

SN - 0002-9947

VL - 354

SP - 1869

EP - 1898

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 5

ER -

Verlinde bundles and generalized theta linear series

Abstract

Keywords

ASJC Scopus subject areas

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