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arXiv · 2206.07075

A log resolution for the theta divisor of a hyperelliptic curve

Christian Schnell·Ruijie Yang
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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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Christian Schnell, Ruijie Yang. 2022-06-14. A log resolution for the theta divisor of a hyperelliptic curve. https://arxiv.org/abs/2206.07075

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