Congruences for rational points on varieties over finite fields

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dc.creatorFakhruddin, N.
dc.creatorRajan, C. S.
dc.date2004-02-13
dc.date2004-07-07
dc.date.accessioned2026-07-07T05:05:26Z
dc.date.available2026-07-07T05:05:26Z
dc.descriptionWe show that the number of rational points on the fibres of a proper morphism of smooth varieties over a finite field k whose generic fibre has a ``trival'' Chow group of zero cycles is congruent to 1 mod |k|. As a consequence we prove that there is a rational point on any degeneration of a smooth proper rationally chain connected variety over a finite field. We also obtain a generalisation of the Chevalley-Warning theorem.
dc.descriptionMinor changes
dc.identifierhttps://arxiv.org/abs/math/0402230
dc.identifierhttp://arxiv.org/abs/math/0402230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70165
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.titleCongruences for rational points on varieties over finite fields
dc.typetext

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