论文标题

theta曲线的theta除数的对数分辨率

A log resolution for the theta divisor of a hyperelliptic curve

论文作者

Schnell, Christian, Yang, Ruijie

论文摘要

在本文中,我们证明了光滑的过性曲线的theta除数具有使用Brill-Noether subvarieties的迭代爆炸的自然而明确的嵌入奇点分辨率。我们还表明,高纤维性雅各布的光彩分层是惠特尼分层。

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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