English

The density of integral points on complete intersections

Number Theory 2010-03-03 v3 Algebraic Geometry

Abstract

In this paper, an upper bound for the number of integral points of bounded height on an affine complete intersection defined over Z\mathbb{Z} is proven. The proof uses an extension to complete intersections of the method used for hypersurfaces by Heath-Brown, the so called q-analogue of van der Corput's AB process.

Keywords

Cite

@article{arxiv.math/0701093,
  title  = {The density of integral points on complete intersections},
  author = {Oscar Marmon},
  journal= {arXiv preprint arXiv:math/0701093},
  year   = {2010}
}

Comments

24 pages, Appendix by Per Salberger; typos corrected