Affine Sieve

Details Affine Sieve Affine Sieve

2011-09-29

arxiv.org/abs/1109.6432v1

Mathematics

Number Theory

Scientific paper

We establish the main saturation conjecture in [BGS10] connected with
executing a Brun sieve in the setting of an orbit of a group of affine linear
transformations. This is carried out under the condition that the Zariski
closure of the group is Levi-semisimple. It is likely that this condition is
also necessary for such saturation to hold.

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