A note on theta divisors of stable bundles
Sonia Brivio
Università degli Studi di Pavia, Italy
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Abstract
Let be a smooth complex irreducible projective curve of genus . We show that if is a Petri curve with , a general stable vector bundle on , with integer slope, admits an irreducible and reduced theta divisor , whose singular locus has dimension . If is non-hyperelliptic of genus , then actually is smooth and irreducible for a general stable vector bundle with integer slope on .
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