Derivatives of Frobenius and Derivatives of Hodge weights

Bingyong Xie

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arXiv · 1601.04904

Derivatives of Frobenius and Derivatives of Hodge weights

Bingyong Xie

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Abstract

In this paper we study the derivatives of Frobenius and the derivatives of Hodge weights for families of Galois representations with triangulations. We generalize the Fontaine-Mazur L-invariant and use it to build a formula which is a generalization of the Greenberg-Stevens-Colmez formula. For the purpose of proving this formula we show two auxiliary results called projection vanishing property and "projection vanishing implying L-invariants" property.

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Bingyong Xie. 2016-01-19. Derivatives of Frobenius and Derivatives of Hodge weights. https://arxiv.org/abs/1601.04904

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