2022-01-28T05:59:16Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000539462021-03-01T11:02:22ZDiscrepancies of $p$-Cyclic Quotient VarietiesYasuda, Takehiko160104Discrepancywild quotient singularitiesCohen-Macaulaymotivic integrationWe 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.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo2019-03-22application/pdfJournal of Mathematical Sciences The University of Tokyo126114AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/53946/files/jms260101.pdfeng