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Counting Rational Points on Cubic Hypersurfaces

โœ Scribed by Browning, T. D.

Book ID
121410238
Publisher
London Mathematical Society
Year
2007
Tongue
English
Weight
244 KB
Volume
54
Category
Article
ISSN
0025-5793

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Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined over Q. We show that X รฐQรž is non-empty provided that X รฐRรž is non-empty and X has p-adic points for every prime p. Browning and Heath-Brown, Rational points on quartic hypersurfaces