Rational points on cubic hypersurfaces that split off two forms
نویسندگان
چکیده
منابع مشابه
Rational Points on Cubic Hypersurfaces That Split off a Form
— Let X be a projective cubic hypersurface of dimension 11 or more, which is defined over Q. We show that X(Q) is non-empty provided that the cubic form defining X can be written as the sum of two forms that share no common variables.
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R0<b162R0 gcd(b1, N )1/2 R 0 (HP) . The second line is false and in fact one has M1 = 1 in Proposition 3. The author is very grateful to Professor Hongze Li for drawing his attention to this flaw. The error can be fixed by introducing an average over b1 into the statement of Proposition 3. This allows us to recover the main theorem in [1], and also [2, Lemma 11], via the following modification....
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The Hasse principle and weak approximation is established for non-singular cubic hypersurfaces X over the function field Fq(t), provided that char(Fq) > 3 and X has dimension at least 6.
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2013
ISSN: 0024-6093
DOI: 10.1112/blms/bdt084