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Abstract <p> We classify two-dimensional toric log germs in terms of their minimal log discrepancy. In particular, Borisov’s series of toric surface singularities with minimal log discrepancy bounded below can be described explicitly and geometrically. </p>

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Classification of Toric Surface Singularities

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月1日

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  • Florin Ambro

摘要

Abstract

We classify two-dimensional toric log germs in terms of their minimal log discrepancy. In particular, Borisov’s series of toric surface singularities with minimal log discrepancy bounded below can be described explicitly and geometrically.