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Counting Rational Points on Cubic Hypersurfaces by Browning, T. D. is a scholarly article available to read on EtoBox.

What is Counting Rational Points on Cubic Hypersurfaces about?

Let X be a geometrically integral projective cubic hypersurface defined over the rationals, with dimension D and singular locus of dimension at most D-4. For any \epsilon>0, we show that X contains O(B^{D+\epsilon}) rational points of height at most B. The implied constant in this estimate depends upon the choice of \epsilon and the coefficients of the cubic form defining X.

Author

Browning, T. D.

Published

2007

Language

EN