Exponential sums on A n, II

Alan Adolphson; Steven Sperber

doi:10.1090/S0002-9947-03-03324-5

Exponential sums on A ⁿ, II

Alan Adolphson, Steven Sperber

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	345-369
Number of pages	25
Journal	Transactions of the American Mathematical Society
Volume	356
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-03-03324-5
State	Published - Jan 2004

Keywords

Exponential sum
l-adic cohomology
p-adic cohomology

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10.1090/S0002-9947-03-03324-5

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abstract = "We prove a vanishing theorem for the p-adic cohomology of exponential sums on A n. In particular, we obtain new classes of exponential sums on A n 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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