arXiv math/07010932007-01-05math.NTmath.AG

The density of integral points on complete intersections

Oscar Marmon

备注：: 24 pages, Appendix by Per Salberger; typos corrected
发表信息：: Q. J. Math. 59 (2008), 29-53.

英文摘要：

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.

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