Work

New examples of geometrically special varieties: K3 surfaces, Enriques surfaces, and algebraic groups

Year: 2026

Type: article

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.

Source: manuscripta mathematica

DOI: 10.1007/s00229-026-01709-3

Author: Finn Bartsch

Institution: Radboud University Nijmegen

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W7141882938