Rational points on varieties defined by multihomogeneous diagonal forms
Number Theory
2025-07-29 v1
Abstract
We give an asymptotic formula for the number of rational points of bounded height on algebraic varieties defined by systems of multihomogeneous diagonal equations. The proof uses the Hardy-Littlewood circle method and the hyperbola method developed by Blomer and Br\"udern.
Cite
@article{arxiv.2507.20878,
title = {Rational points on varieties defined by multihomogeneous diagonal forms},
author = {Doyon Kim and Tian Wang},
journal= {arXiv preprint arXiv:2507.20878},
year = {2025}
}
Comments
18 pages