Geometry of the theta divisor of a compactified jacobian

Details Geometry of the theta divisor of a compactified jacobian Geometry of the theta divisor of a compactified jacobian

2007-07-31

arxiv.org/abs/0707.4602v4

Mathematics

Algebraic Geometry

36 pages. Final version, to appear in JEMS

Scientific paper

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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