Smooth hypersurface sections containing a given subscheme over a finite field
نویسندگان
چکیده
منابع مشابه
Smooth Hypersurface Sections Containing a given Subscheme over a Finite Field
Let Fq be a finite field of q = p elements. Let X be a smooth quasi-projective subscheme of P of dimension m ≥ 0 over Fq. N. Katz asked for a finite field analogue of the Bertini smoothness theorem, and in particular asked whether one could always find a hypersurface H in P such that H ∩X is smooth of dimension m − 1. A positive answer was proved in [Gab01] and [Poo04] independently. The latter...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2008
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2008.v15.n2.a5