Counting rational points on a Grassmannian
Number Theory
2022-10-14 v7
Abstract
We prove an estimate on the number of rational points on the Grassmannian variety of bounded twisted height, refining the classical results of Schmidt ([12]) and Thunder ([20]) over the rational field: most importantly, our formula counts all points. Among the consequences are a couple of new implications on the classical subject of counting rational points on flag varieties.
Cite
@article{arxiv.1908.01245,
title = {Counting rational points on a Grassmannian},
author = {Seungki Kim},
journal= {arXiv preprint arXiv:1908.01245},
year = {2022}
}
Comments
Fixed more minor errors, plus a proof for the counting formula on a flag variety