Discrepancies of $p$-Cyclic Quotient Varieties 利用統計を見る

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アイテムタイプ	紀要論文 / Departmental Bulletin Paper
言語	英語
キーワード	Discrepancy, wild quotient singularities, Cohen-Macaulay, motivic integration
著者	Yasuda Takehiko
著者所属	Department of Mathematics, Graduate School of Science, Osaka University
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.
雑誌名	Journal of Mathematical Sciences The University of Tokyo
巻	26
号	1
ページ	1 - 14
発行年	2019-03-22
ISSN	13405705
書誌レコードID	AA11021653
Mathmatical Subject Classification	14B05(MSC2010) 14E30(MSC2010) 14E16(MSC2010) 14E18(MSC2010)
出版者	Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日	2017-10-27

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