论文标题
使用复曲面Artin堆栈对二项式品种的降低化
Desingularization of binomial varieties using toric Artin stacks
论文作者
论文摘要
我们展示了如何使用幻想的概念来有效地将定义在代数封闭的字段定义的二项式品种。与通过光滑中心中的爆破进行降低相反，我们大大减少了步骤数量和在过程中出现的图表数量。此外，我们讨论了我们的考虑如何扩展到有限的许多二项式超曲面的部分同时正常穿越。
We show how the notion of fantastacks can be used to effectively desingularize binomial varieties defined over algebraically closed fields. In contrast to a desingularization via blow-ups in smooth centers, we drastically reduce the number of steps and the number of charts appearing along the process. Furthermore, we discuss how our considerations extend to a partial simultaneous normal crossings desingularization of finitely many binomial hypersurfaces.
