Fe b 20 08 A WEAK CHEVALLEY - WARNING THEOREM FOR QUASI - FINITE FIELDS
نویسنده
چکیده
There 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 ≥ 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.
منابع مشابه
A WEAK CHEVALLEY - WARNING THEOREM FOR QUASI - FINITE FIELDS 3 Proof
There 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 ≥ 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 gro...
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تاریخ انتشار 2008