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arXiv · 0707.4602

Geometry of the theta divisor of a compactified jacobian

Lucia Caporaso
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Abstract

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.

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Lucia Caporaso. 2008-10-04. Geometry of the theta divisor of a compactified jacobian. https://arxiv.org/abs/0707.4602

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