On the base locus of the generalized theta divisor

Mihnea Popa

doi:10.1016/S0764-4442(00)80051-8

On the base locus of the generalized theta divisor

Mihnea Popa

Mathematics

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

22 Scopus citations

Abstract

In response to a question of Beauville, we give a new class of examples of base points for the linear system Θ on the moduli space SU_X(r) of semistable rank r vector bundles of trivial determinant on a curve X and we prove that for sufficiently large r the base locus is positive dimensional.

Original language	English (US)
Pages (from-to)	507-512
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	329
Issue number	6
DOIs	https://doi.org/10.1016/S0764-4442(00)80051-8
State	Published - Sep 15 1999

ASJC Scopus subject areas

General Mathematics

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10.1016/S0764-4442(00)80051-8

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title = "On the base locus of the generalized theta divisor",

abstract = "In response to a question of Beauville, we give a new class of examples of base points for the linear system Θ on the moduli space SUX(r) of semistable rank r vector bundles of trivial determinant on a curve X and we prove that for sufficiently large r the base locus is positive dimensional.",

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AB - In response to a question of Beauville, we give a new class of examples of base points for the linear system Θ on the moduli space SUX(r) of semistable rank r vector bundles of trivial determinant on a curve X and we prove that for sufficiently large r the base locus is positive dimensional.

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On the base locus of the generalized theta divisor

Abstract

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