Abstract
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.
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The author would like to thank Professor Shihoko Ishii and Professor Shunsuke Takagi for valuable conversations.
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The author is partially supported by JSPS Grant-in-Aid for Early-Career Scientists 19K14496 and the Iwanami Fujukai Foundation.
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Shibata, K. Characterization of two-dimensional semi-log canonical hypersurfaces in arbitrary characteristic. European Journal of Mathematics 7, 931–951 (2021). https://doi.org/10.1007/s40879-021-00484-7
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DOI: https://doi.org/10.1007/s40879-021-00484-7