Cohomological divisibility and point count divisibility

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dc.creatorEsnault, Hélène
dc.creatorKatz, Nicholas M.
dc.date2003-05-08
dc.date2003-05-10
dc.date.accessioned2026-07-07T04:57:51Z
dc.date.available2026-07-07T04:57:51Z
dc.descriptionWe show that Ax-Katz divisibility on the number of rational points of a variety defined over a finite field by equations of low degrees comes from divisibility of the eigenvalues of the Frobenius action of the $\ell$-adic cohomology with compact supports. This completes the motivc picture, as we knew already that in characteristic 0, the Hodge type was the expected one. [version 2 as the title contained a typo..., else no changes]
dc.description10 pages, latex
dc.identifierhttps://arxiv.org/abs/math/0305127
dc.identifierhttp://arxiv.org/abs/math/0305127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67410
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.titleCohomological divisibility and point count divisibility
dc.typetext

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