Exponential sums on 
, II
Authors:
Alan Adolphson and Steven Sperber
Journal:
Trans. Amer. Math. Soc. 356 (2004), 345-369
MSC (2000):
Primary 11L07, 11T23, 14F20, 14F30
DOI:
https://doi.org/10.1090/S0002-9947-03-03324-5
Published electronically:
May 29, 2003
MathSciNet review:
2020036
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We prove a vanishing theorem for the 
-adic cohomology of exponential sums on 
. In particular, we obtain new classes of exponential sums on 
that have a single nonvanishing 
-adic cohomology group. The dimension of this cohomology group equals a sum of Milnor numbers.
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-adiques, Inst. Hautes Etudes Sci. Publ. Math. 12 (1962), 69-85. Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 11L07, 11T23, 14F20, 14F30
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Additional Information
Alan Adolphson
Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078
Email:
adolphs@math.okstate.edu
Steven Sperber
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
Email:
sperber@math.umn.edu
DOI:
https://doi.org/10.1090/S0002-9947-03-03324-5
Keywords:
Exponential sum,
$p$-adic cohomology,
$l$-adic cohomology
Received by editor(s):
May 29, 2002
Received by editor(s) in revised form:
February 13, 2003
Published electronically:
May 29, 2003
Additional Notes:
The first author was supported in part by NSA Grant MDA904-97-1-0068 and NSF Grant DMS-0070510
Article copyright:
© Copyright 2003
American Mathematical Society
