New examples of geometrically special varieties: K3 surfaces, Enriques surfaces, and algebraic groups
Algebraic Geometry
2025-02-14 v1
Abstract
We verify that elliptic K3 surfaces and algebraic groups have many rational points over function fields, i.e., they are geometrically special in the sense of Javanpeykar-Rousseau. We also show that under additional assumptions, this geometric specialness persists under removal of closed subsets of codimension at least two.
Cite
@article{arxiv.2502.09400,
title = {New examples of geometrically special varieties: K3 surfaces, Enriques surfaces, and algebraic groups},
author = {Finn Bartsch},
journal= {arXiv preprint arXiv:2502.09400},
year = {2025}
}
Comments
16 pages. Comments welcome!