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<p>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.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月28日

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  • Finn Bartsch

摘要

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.