Characterization of two-dimensional semi-log canonical hypersurfaces in arbitrary characteristic
Characterization of two-dimensional semi-log canonical hypersurfaces in arbitrary characteristic
复制标题
任意特征的二维半对数正则超曲面的表征
DOI：
10.1007/s40879-021-00484-7
复制
发表时间：
2021
影响因子：
0.6
通讯作者：
Shibata Kohsuke
中科院分区：
文献类型：
--
作者：
Nakamura Yusuke;Shibata Kohsuke;Shibata Kohsuke;Shibata Kohsuke
从定义方程的初项出发，刻划了具有任意特征的二维半对数正则超曲面。作为应用，我们证明了一个关于计算二维簇的最小对数偏差的因子的一致界的猜想，这是石井的猜想，也是Mustaţă-Nakamura猜想的一个特例。
We characterize two-dimensional semi-log canonical hypersurfaces in arbitrary characteristic from the viewpoint of the initial term of the defining equation. As an application, we prove a conjecture about a uniform bound of divisors computing minimal log discrepancies for two-dimensional varieties, which is a conjecture by Ishii and also a special case of the conjecture by Mustaţă–Nakamura.