Geometry of the theta divisor of a compactified jacobian
classification
🧮 math.AG
keywords
compactifiedcurvesdivisorjacobianthetaappendedapplicationsbrill-noether
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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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