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Exponential sums on An. III

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Abstract:

We give two applications of our earlier work [4]. We compute the p-adic cohomology of certain exponential sums on A n involving a polynomial whose homogeneous component of highest degree defines a projective hypersurface with at worst weighted homogeneous isolated singularities. This study was motivated by recent work of García [9]. We also compute the p-adic cohomology of certain exponential sums on A n whose degree is divisible by the characteristic.

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Authors and Affiliations

  1. Department of Mathematics, Oklahoma State University, 401 Math. Sciences, Stillwater, OK 74078-1058, USA. e-mail: adolphs@math.okstate.edu, , , , , , US

    Alan Adolphson

  2. School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA. e-mail: sperber@math.umn.edu, , , , , , US

    Steven Sperber

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  1. Alan Adolphson
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  2. Steven Sperber
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Received: 12 October 1999

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Adolphson, A., Sperber, S. Exponential sums on An. III. manuscripta math. 102, 429–446 (2000). https://doi.org/10.1007/s002290070035

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  • DOI: https://doi.org/10.1007/s002290070035

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