A note on theta divisors of stable bundles

Sonia Brivio ^[1]
1. [1] University of Pavia
  
  University of Pavia
  
  Pavía, Italia
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 31, Nº 2, 2015, págs. 601-608
Idioma: inglés
DOI: 10.4171/RMI/846
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Resumen
- 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.