Exponential sums on 𝐀ⁿ, II

Author:

Adolphson Alan,Sperber Steven

Abstract

We prove a vanishing theorem for the p p -adic cohomology of exponential sums on A n \mathbf {A}^n . In particular, we obtain new classes of exponential sums on A n \mathbf {A}^n that have a single nonvanishing p p -adic cohomology group. The dimension of this cohomology group equals a sum of Milnor numbers.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. EXPONENTIAL SUMS ON n. IV;International Journal of Number Theory;2009-08

2. Purity of exponential sums on n , II;Journal für die reine und angewandte Mathematik (Crelles Journal);2007-01-27

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