On the zeta function of a projective complete intersection

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dc.creatorAdolphson, Alan
dc.creatorSperber, Steven
dc.date2006-10-06
dc.date.accessioned2026-07-07T07:28:48Z
dc.date.available2026-07-07T07:28:48Z
dc.descriptionWe 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.
dc.description24 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0610230
dc.identifierhttp://arxiv.org/abs/math/0610230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117868
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject11M38;14F30
dc.titleOn the zeta function of a projective complete intersection
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