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arXiv · 1906.01766

Exponential Sums of Witt Towers over Affinoids

Matthew Schmidt
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Abstract

In this paper we construct a Dwork theory for general exponential sums over affinoids in Witt towers. Using this, we compute the degree of the $L$-function, its Hodge polygon and examine when the Hodge and Newton polygons coincide.

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Matthew Schmidt. 2019-06-05. Exponential Sums of Witt Towers over Affinoids. https://arxiv.org/abs/1906.01766

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