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arXiv:0707.4602 [math.AG]AbstractReferencesReviewsResources

Geometry of the theta divisor of a compactified jacobian

Lucia Caporaso

Published 2007-07-31, updated 2008-10-04Version 4

We study the theta divisor of the compactified jacobian of a nodal, possibly reducible, curve. We compute its irreducible components and give it a geometric interpretation consistent with the classical Brill-Noether theory of smooth curves. Some applications on hyperelliptic stable curves are appended.

Comments: 36 pages. Final version, to appear in JEMS
Categories: math.AG
Subjects: 14H40, 14H51, 14K30, 14D20
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