The density of integral points on complete intersections

Oscar Marmon

The density of integral points on complete intersections

数论 2010-03-03 v3 代数几何

作者: Oscar Marmon

摘要

In this paper, an upper bound for the number of integral points of bounded height on an affine complete intersection defined over $\mathbb{Z}$ 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.

关键词

intersection theory intersection theory on moduli spaces upper bounds

引用

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

备注

24 pages, Appendix by Per Salberger; typos corrected

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