A Weak Chevalley-Warning Theorem for Quasi-finite Fields

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dc.creatorLarsen, Michael
dc.creatorIm, Bo-Hae
dc.date2008-02-26
dc.date2008-02-27
dc.date.accessioned2026-07-07T09:23:19Z
dc.date.available2026-07-07T09:23:19Z
dc.descriptionThere exists a function f: N -> N such that for every positive integer d, every quasi-finite field K and every projective hypersurface X of degree d and dimension at least f(d), the set X(K) is non-empty. This is a special case of a more general result about intersections of hypersurfaces of fixed degree in projective spaces of sufficiently high dimension over fields with finitely generated Galois groups.
dc.descriptionIntroduction now acknowledges a paper of Ax
dc.identifierhttps://arxiv.org/abs/0802.3809
dc.identifierhttp://arxiv.org/abs/0802.3809
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155692
dc.subjectNumber Theory
dc.subject12E30
dc.titleA Weak Chevalley-Warning Theorem for Quasi-finite Fields
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