On the zeta function of a projective complete intersection

Alan Adolphson, Steven Sperber

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We compute a basis for the p-adic Dwork cohomology of a smooth complete intersection in projective space over a finite field and use it to give p-adic estimates for the action of Frobenius on this cohomology. In particular, we prove that the Newton polygon of the characteristic polynomial of Frobenius lies on or above the associated Hodge polygon. This result was first proved by B. Mazur using crystalline cohomology.

Original languageEnglish (US)
Pages (from-to)389-417
Number of pages29
JournalIllinois Journal of Mathematics
Issue number2
StatePublished - 2008


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