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Rational curves on Fermat hypersurfaces

✍ Scribed by Mingmin Shen


Book ID
119222971
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
134 KB
Volume
350
Category
Article
ISSN
1631-073X

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πŸ“œ SIMILAR VOLUMES


Rational points on quartic hypersurfaces
✍ Browning, T. D.; Heath-Brown, D. R. πŸ“‚ Article πŸ“… 2009 πŸ› Walter de Gruyter GmbH & Co. KG 🌐 English βš– 432 KB
Rational points on quartic hypersurfaces
✍ Browning, T. D.; Heath-Brown, D. R. πŸ“‚ Article πŸ“… 2009 πŸ› Walter de Gruyter GmbH & Co. KG 🌐 English βš– 432 KB

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