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
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.