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Exponential sums on An, II

1999/09/01 by Alan Adolphson, Steven Sperber, Adolphson, Alan +1
Computer Science · Mathematics · #11L07 #11T23 #14F20 #14F30 #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Topological and Geometric Data Analysis #math.AG #math.NT #msc:11L07 #msc:11T23 #msc:14F20 #msc:14F30

paper · pdf · doi:10.48550/arxiv.math/9909009

24 pp., LaTeX2e

arxiv created 1999/09/01 · openalex publication_date 1999/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a vanishing theorem for the p-adic cohomology of exponential sums on affine space. In particular, we obtain new classes of exponential sums on affine space that have a single nonvanishing p-adic cohomology group. The dimension of this cohomology group equals a sum of Milnor numbers.

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