Oscar Marmon
Published 2007-01-03, updated 2007-01-05Version 3
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.
Comments: 24 pages, Appendix by Per Salberger; typos corrected
Journal: Q. J. Math. 59 (2008), 29-53.
The density of integral points on hypersurfaces of degree at least four
Integral points on the complement of the branch locus of projections from hypersurfaces
Integral points, divisibility between values of polynomials and entire curves on surfaces
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