Affine Sieve

2011/09/29 by Alireza Salehi Golsefidy, Peter Sarnak, Golsefidy, Alireza Salehi +1 · 1 citation
Mathematics · #11N35 #20G35 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT) #math.GR #math.NT #msc:11N35 #msc:20G35

paper · pdf · doi:10.48550/arxiv.1109.6432

arxiv created 2011/09/29 · openalex publication_date 2011/09/29 · arxiv updated 2011/09/30 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

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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