Exponential sums on A n, II

Alan Adolphson, Steven Sperber

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish (US)
Pages (from-to)345-369
Number of pages25
JournalTransactions of the American Mathematical Society
Issue number1
StatePublished - Jan 2004


  • Exponential sum
  • l-adic cohomology
  • p-adic cohomology

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