Open Access
2017 Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions
Antonio Lei
Tohoku Math. J. (2) 69(4): 497-524 (2017). DOI: 10.2748/tmj/1512183627

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.

Citation

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Antonio Lei. "Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions." Tohoku Math. J. (2) 69 (4) 497 - 524, 2017. https://doi.org/10.2748/tmj/1512183627

Information

Published: 2017
First available in Project Euclid: 2 December 2017

zbMATH: 06850811
MathSciNet: MR3732885
Digital Object Identifier: 10.2748/tmj/1512183627

Subjects:
Primary: 11F80
Secondary: 11F11 , 11F85 , 11R18 , 11R23

Keywords: $p$-adic Hodge theory , $p$-adic representations , cyclotomic extensions , modular forms , Tamagawa numbers , Wach modules

Rights: Copyright © 2017 Tohoku University

Vol.69 • No. 4 • 2017
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