Vectors bundles with theta divisors I-bundles on castelnuovo curves

Kirti Joshi; V. B. Mehta

doi:10.1007/s00013-009-2973-0

Vectors bundles with theta divisors I-bundles on castelnuovo curves

Kirti Joshi, V. B. Mehta

Mathematics

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

1 Scopus citations

Abstract

In this paper we show that semistable vector bundles on a Castelnuovo curve of genus g ≥ 2 have theta divisors. As a corollary, we deduce that semistable vector bundles on a smooth, general curve of genus g ≥ 2 which extend to semistable vector bundles on any flat Castelnuovo degeneration of the general curve admit a theta divisor.

Original language	English (US)
Pages (from-to)	574-584
Number of pages	11
Journal	Archiv der Mathematik
Volume	92
Issue number	6
DOIs	https://doi.org/10.1007/s00013-009-2973-0
State	Published - Jun 2009

Keywords

Nodal curves
Semistable vector bundles
Theta divisors
Vector bundles

ASJC Scopus subject areas

General Mathematics

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10.1007/s00013-009-2973-0

Cite this

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abstract = "In this paper we show that semistable vector bundles on a Castelnuovo curve of genus g ≥ 2 have theta divisors. As a corollary, we deduce that semistable vector bundles on a smooth, general curve of genus g ≥ 2 which extend to semistable vector bundles on any flat Castelnuovo degeneration of the general curve admit a theta divisor.",

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AU - Joshi, Kirti

AU - Mehta, V. B.

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N2 - In this paper we show that semistable vector bundles on a Castelnuovo curve of genus g ≥ 2 have theta divisors. As a corollary, we deduce that semistable vector bundles on a smooth, general curve of genus g ≥ 2 which extend to semistable vector bundles on any flat Castelnuovo degeneration of the general curve admit a theta divisor.

AB - In this paper we show that semistable vector bundles on a Castelnuovo curve of genus g ≥ 2 have theta divisors. As a corollary, we deduce that semistable vector bundles on a smooth, general curve of genus g ≥ 2 which extend to semistable vector bundles on any flat Castelnuovo degeneration of the general curve admit a theta divisor.

KW - Nodal curves

KW - Semistable vector bundles

KW - Theta divisors

KW - Vector bundles

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JO - Archiv der Mathematik

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ER -

Vectors bundles with theta divisors I-bundles on castelnuovo curves

Abstract

Keywords

ASJC Scopus subject areas

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