Rational points on varieties defined by multihomogeneous diagonal forms
arXiv:2507.20878 · doi:10.1016/j.jnt.2026.06.010
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 Brüdern.
19 pages. Published version with minor revisions