# A note on theta divisors of stable bundles

### Sonia Brivio

Università degli Studi di Pavia, Italy

## 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 $Θ_{E}$, whose singular locus has dimension $g−4$. If $C$ is non-hyperelliptic of genus $3$, then actually $Θ_{E}$ is smooth and irreducible for a general stable vector bundle $E$ with integer slope on $C$.

## Cite this article

Sonia Brivio, A note on theta divisors of stable bundles. Rev. Mat. Iberoam. 31 (2015), no. 2, pp. 601–608

DOI 10.4171/RMI/846