Distribution of rational points of bounded height on equivariant compactifications of $\mathrm{PGL}_2$ I

Ramin Takloo-Bighash; Sho Tanimoto

Distribution of rational points of bounded height on equivariant compactifications of $\mathrm{PGL}_2$ I

Number Theory 2015-12-23 v2 Algebraic Geometry Representation Theory

Authors: Ramin Takloo-Bighash , Sho Tanimoto

Abstract

We study the distribution of rational points of bounded height on a one-sided equivariant compactification of $\mathrm{PGL}_2$ using automorphic representation theory of $\mathrm{PGL}_2$ .

Keywords

bounded height rational points equivariant compactification one-sided compactification automorphic representation PGL_2

Cite

@article{arxiv.1505.02317,
  title  = {Distribution of rational points of bounded height on equivariant compactifications of $\mathrm{PGL}_2$ I},
  author = {Ramin Takloo-Bighash and Sho Tanimoto},
  journal= {arXiv preprint arXiv:1505.02317},
  year   = {2015}
}

Comments

31 pages. The paper has been revised. We have now proved the main theorem for all big line bundles. We have also corrected several mathematical and stylistic errors

Distribution of rational points of bounded height on equivariant compactifications of $\mathrm{PGL}_2$ I

Abstract

Keywords

Cite

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