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arXiv · 2502.09400

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

Finn Bartsch
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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.

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Finn Bartsch. 2025-02-13. New examples of geometrically special varieties: K3 surfaces, Enriques surfaces, and algebraic groups. https://arxiv.org/abs/2502.09400

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