Let C be a smooth complex irreducible projective curve of genus g ≥ 3. We show that if C is a Petri curve with g ≥ 4, a general stable vector bundle E on C, with integer slope, admits an irreducible and reduced theta divisor Θ<inf>E</inf>, whose singular locus has dimension g - 4. If C is non-hyperelliptic of genus 3, then actually Θ<inf>E</inf> is smooth and irreducible for a general stable vector bundle E with integer slope on C.

Brivio, S. (2015). A note on theta divisors of stable bundles. REVISTA MATEMATICA IBEROAMERICANA, 31(2), 601-608 [10.4171/rmi/846].

A note on theta divisors of stable bundles

BRIVIO, SONIA
Primo
2015

Abstract

Let C be a smooth complex irreducible projective curve of genus g ≥ 3. We show that if C is a Petri curve with g ≥ 4, a general stable vector bundle E on C, with integer slope, admits an irreducible and reduced theta divisor ΘE, whose singular locus has dimension g - 4. If C is non-hyperelliptic of genus 3, then actually ΘE is smooth and irreducible for a general stable vector bundle E with integer slope on C.
Articolo in rivista - Articolo scientifico
Vector bundles;
Theta divisor. Vector bundles.
English
601
608
8
Brivio, S. (2015). A note on theta divisors of stable bundles. REVISTA MATEMATICA IBEROAMERICANA, 31(2), 601-608 [10.4171/rmi/846].
Brivio, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/100389
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