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The density of integral points on complete intersections

Oscar Marmon
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Abstract

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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Oscar Marmon. 2007-01-05. The density of integral points on complete intersections. https://arxiv.org/abs/math/0701093

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