On the Zariski-Density of Integral Points on a Complement of Hyperplanes in P^n

Details On the Zariski-Density of Integral Points on a Complement of Hyperplanes in P^n On the Zariski-Density of Integral Points on a Complement of Hyperplanes in P^n

2006-01-27

arxiv.org/abs/math/0601692v1

Mathematics

Number Theory

10 pages

Scientific paper

We study the S-integral points on the complement of a union of hyperplanes in
projective space, where S is a finite set of places of a number field k. In the
classical case where S consists of the set of archimedean places of k, we
completely characterize, in terms of the hyperplanes and the field k, when the
(S-)integral points are not Zariski-dense.

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