Rational points on quartic hypersurfaces
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Browning, T. D.; Heath-Brown, D. R.
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Article
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2009
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Walter de Gruyter GmbH & Co. KG
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English
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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 รฐQร is non-empty provided that X รฐRร is non-empty and X has p-adic points for every prime p. Browning and Heath-Brown, Rational points on quartic hypersurfaces