JournalsrmiVol. 31, No. 2pp. 601–608

A note on theta divisors of stable bundles

  • Sonia Brivio

    Università degli Studi di Pavia, Italy
A note on theta divisors of stable bundles cover
Download PDF

Abstract

Let CC be a smooth complex irreducible projective curve of genus g3g \geq 3. We show that if CC is a Petri curve with g4g \geq 4, a general stable vector bundle EE on CC, with integer slope, admits an irreducible and reduced theta divisor ΘE\Theta_E, whose singular locus has dimension g4g-4. If CC is non-hyperelliptic of genus 33, then actually ΘE\Theta_E is smooth and irreducible for a general stable vector bundle EE with integer slope on CC.

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