Open Access
February 2011 On the Cartier duality of certain finite group schemes of type (p n , ..., p n )
Nobuhiro Aki
Tsukuba J. Math. 34(2): 183-200 (February 2011). DOI: 10.21099/tkbjm/1302268244

Abstract

In this paper, we determine the Cartier dual of certain finite group schemes of type (p n , ..., p n ), restricting ourselves to positive characteristic p case. They are given by the kernel of certain endomormphisms of the fibre product W l,A ×Spec A … ×Spec A W l,A of the group scheme of Witt vectors of the length l. Moreover we can treat the kernel of the endomorphism of a type F n + a 1Fn-1 + … + a n : W l,A W l,A as our special class, where F is the Frobenius endomorphism and a k (k = 1, ..., n) are suitable Witt vectors.

Citation

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Nobuhiro Aki. "On the Cartier duality of certain finite group schemes of type (p n , ..., p n )." Tsukuba J. Math. 34 (2) 183 - 200, February 2011. https://doi.org/10.21099/tkbjm/1302268244

Information

Published: February 2011
First available in Project Euclid: 8 April 2011

zbMATH: 1204.14020
MathSciNet: MR2723722
Digital Object Identifier: 10.21099/tkbjm/1302268244

Rights: Copyright © 2011 University of Tsukuba, Institute of Mathematics

Vol.34 • No. 2 • February 2011
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