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Rational points on quartic hypersurfaces
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T. D. Browning
Published/Copyright:
February 24, 2009
Abstract
Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined over ℚ. We show that X(ℚ) is non-empty provided that X(ℝ) is non-empty and X has p-adic points for every prime p.
Received: 2007-06-07
Revised: 2008-01-08
Published Online: 2009-02-24
Published in Print: 2009-April
© Walter de Gruyter Berlin · New York 2009
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- Sur l'irréductibilité d'une induite parabolique
- Borcherds forms and generalizations of singular moduli
- Rational points on quartic hypersurfaces
- Non-finiteness properties of fundamental groups of smooth projective varieties
- Formal punctured ribbons and two-dimensional local fields
- On the factorization of consecutive integers
- On the power maps, orders and exponentiality of p-adic algebraic groups
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Articles in the same Issue
- Sur l'irréductibilité d'une induite parabolique
- Borcherds forms and generalizations of singular moduli
- Rational points on quartic hypersurfaces
- Non-finiteness properties of fundamental groups of smooth projective varieties
- Formal punctured ribbons and two-dimensional local fields
- On the factorization of consecutive integers
- On the power maps, orders and exponentiality of p-adic algebraic groups
- Higher order group cohomology and the Eichler-Shimura map
