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Preprint . 1999
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Preprint . 1999
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manuscripta mathematica
Article . 2000 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.48550/ar...
Article . 1999
License: arXiv Non-Exclusive Distribution
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https://dx.doi.org/10.48550/ar...
Article . 1999
License: arXiv Non-Exclusive Distribution
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https://dx.doi.org/10.1007/s00...
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Exponential sums on A n . III

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2000Embargo end date: 01 Jan 1999Publisher:Springer Science and Business Media LLCJournal:manuscripta mathematica, volume 102, pages 429-446 (issn: 0025-2611, eissn: 1432-1785, Copyright policy )
Authors: Adolphson, Alan; Sperber, Steven;

doi: 10.1007/s002290070035 , 10.48550/arxiv.math/9909009 , 10.48550/arxiv.math/9909018

arXiv: math/9909009 , math/9909018

Exponential sums on A n . III

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.

24 pp., LaTeX2e

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Keywords

Mathematics - Algebraic Geometry, Mathematics - Number Theory, 11T23, 14F30, FOS: Mathematics, 11L07, 11T23, 14F20, 14F30, Number Theory (math.NT), Algebraic Geometry (math.AG)

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green