有界高度有理点在 $\mathrm{PGL}_2$ 单侧等变紧化上的分布 I
数论
2015-12-23 v2 代数几何
表示论
摘要
我们利用 的自守表示理论研究 的单侧等变紧化上有界高度有理点的分布。
引用
@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}
}
备注
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