| 概要 | I will talk about the McKay correspondence for the cyclic group of order p in characteristic p.
A main tool is the motivic integration generalized to quotient stacks associated to relevant epresentations.
One of main consequences is that a crepant resolution of the quotient variety has topological Euler characteristic p like in characteristic zero. Also there are new features which did not appear in characteristic zero. For instance, the number of rational points of a crepant resolution is related to a weighted count of Artin-Schreier extensions of the power series field.
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