Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions

2015/10/21 by Lei, Antonio
#11F11 #11F80 (primary) #11F85 #11R18 #11R23 (secondary) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1510.06450

Abstract

In this paper, we study the Tamagawa numbers of a crystalline representation over a tower of cyclotomic extensions under certain technical conditions on the representation. In particular, we show that we may improve the asymptotic bounds given in the thesis of Arthur Laurent in certain cases.

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