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Exponential Sums of Witt Towers over Affinoids

2019/06/05 by Matthew Schmidt, Schmidt, Matthew
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #History and Theory of Mathematics #Mathematical and Theoretical Analysis #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1906.01766

openalex publication_date 2019/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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