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arXiv:1102.4314 [math.AG]AbstractReferencesReviewsResources

On the genus of curves in a Jacobian variety

Valeria Ornella Marcucci

Published 2011-02-21Version 1

We prove that the geometric genus p of a curve in a very generic Jacobian of dimension g>3 satisfies either p=g or p>2g-3. This gives a positive answer to a conjecture of Naranjo and Pirola. For low values of g the second inequality can be further improved to p>2g-2.

Comments: 16 pages
Categories: math.AG
Subjects: 14H40
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