Rational points on compactifications of semi-simple algebraic groups
数论
2015-06-26 v1 代数几何
摘要
We prove Manin's conjecture concerning the distribution of rational points of bounded height, and its refinement by Peyre, for wonderful compactifications of semi-simple algebraic groups over number fields. The proof proceeds via the study of the associated height zeta function and its spectral expansion.
引用
@article{arxiv.math/0602236,
title = {Rational points on compactifications of semi-simple algebraic groups},
author = {Joseph A. Shalika and Ramin Takloo-Bighash and Yuri Tschinkel},
journal= {arXiv preprint arXiv:math/0602236},
year = {2015}
}