A log resolution for the theta divisor of a hyperelliptic curve (2206.07075v6)

Published 14 Jun 2022 in math.AG

Abstract: In this paper, we prove that the theta divisor of a smooth hyperelliptic curve has a natural and explicit embedded resolution of singularities using iterated blowups of Brill-Noether subvarieties. We also show that the Brill-Noether stratification of the hyperelliptic Jacobian is a Whitney stratification.

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