The density of integral points on complete intersections
Journal article, 2008

In this paper, an upper bound for the number of integral points of bounded height on an affine complete intersection defined over is proven. The proof uses an extension to complete intersections of the method used for hypersurfaces by Heath-Brown (The density of rational points on non-singular hypersurfaces, Proc. Indian Acad. Sci. Math. Sci. 104 (1994) 13-29), the so called 'q-analogue' of van der Corput's AB process.

Author

Oscar Marmon

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Quarterly Journal of Mathematics

0033-5606 (ISSN) 1464-3847 (eISSN)

Vol. 59 1 29-53

Subject Categories

Other Mathematics

DOI

10.1093/qmath/ham022

More information

Created

10/7/2017