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Rational points of bounded height on Fano varieties

โœ Scribed by Jens Franke; Yuri I. Manin; Yuri Tschinkel


Publisher
Springer-Verlag
Year
1990
Tongue
English
Weight
25 KB
Volume
102
Category
Article
ISSN
0020-9910

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A structure theorem on the Mordell-Weil group of abelian varieties which arise as the twists associated with various double covers of varieties is proved. As an application, a three-parameter family of elliptic curves whose generic Mordell-Weil rank is four is constructed. * 1995 Academic Press. Inc

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We prove asymptotic formulas for the number of rational points of bounded height on certain equivariant compactifications of the affine space.