Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups

by Pham Huu Tiep and Nicholas M. Katz

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An examination of some of the remarkable connections between group theory and arithmetic algebraic geometry over finite fields

Exponential sums have been of great interest ever since Gauss, and their importance in analytic number theory goes back a century to Kloosterman. Grothendieck's creation of the machinery of l-adic cohomology led to the understanding that families of exponential sums give rise to local systems, while Deligne,...

Format:Paperback

Language:English

ISBN:0691272255

ISBN13:9780691272252

Release Date:June 2025

Publisher:Princeton University Press

Length:352 Pages

Related Subjects

Math Mathematics Science & Math

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Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups

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