论文标题

在任意特征中的二维半gog典型超曲面的表征

Characterization of two-dimensional semi-log canonical hypersurfaces in arbitrary characteristic

论文作者

Shibata, Kohsuke

论文摘要

在本文中,我们从定义方程的初始术语的角度来表征任意特征的二维半log典型超曲面。作为一种应用,我们证明了关于二维品种的最小对数差异的统一界限的猜想,这是ISHII的猜想,也是Mustaţǎ-Nakamura的猜想的特殊情况。

In this paper 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 Mustaţǎ-Nakamura.

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