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A log resolution for the theta divisor of a hyperelliptic curve

2022/06/14 by Schnell, Christian, Yang, Ruijie
#14E15 (primary) #14H42 #14H51 (secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2206.07075

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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