Year: 2026
Type: preprint
Abstract: After removing suitable thin subsets, we count rational points of bounded height on some hypersurfaces of small bidegree in $\mathbb{P}^3\times\mathbb{P}^3$ and in $\mathbb{P}^3\times\mathbb{P}^2$. One of the ingredients is a new estimate for the number of rational points of bounded height on diagonal quadratic surfaces which improves as the coefficients grow.
Source: arXiv (Cornell University)
Authors: Browning, Tim, Verzobio, Matteo
Institutions: Institute of Science and Technology Austria, KU Leuven
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221568141