Rational points on quartic hypersurfaces

Details Rational points on quartic hypersurfaces Rational points on quartic hypersurfaces

2007-01-12

arxiv.org/abs/math/0701348v2

Mathematics

Number Theory

47 pages

Scientific paper

Let X be a non-singular projective hypersurface of degree 4, which is defined
over the rational numbers. Assume that X has dimension 39 or more, and that X
contains a real point and p-adic points for every prime p. Then X is shown to
contain infinitely many rational points.

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