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arxiv: math/9909009 · v1 · submitted 1999-09-01 · 🧮 math.AG · math.NT

Exponential sums on A^n, II

Alan Adolphson , Steven Sperber This is my paper
classification 🧮 math.AG math.NT
keywords cohomologyexponentialsumsaffinegroupp-adicspaceclasses
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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.

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