Discrepancies of p-cyclic quotient varieties

Takehiko Yasuda

研究成果: Article査読

6 被引用数 (Scopus)

抄録

We consider the quotient variety associated to a linear representation of the cyclic group of order p in characteristic p>0. We estimate the minimal discrepancy of exceptional divisors over the singular locus. In particular, we give criteria for the quotient variety being terminal, canonical and log canonical. As an application, we obtain new examples of non-Cohen-Macaulay terminal singularities, adding to examples recently announced by Totaro.

本文言語English
ページ(範囲)1-14
ページ数14
ジャーナルJournal of Mathematical Sciences (Japan)
26
1
出版ステータスPublished - 2019

ASJC Scopus subject areas

  • Mathematics(all)

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