The 2‐divisibility of divisors on K3 surfaces in characteristic 2
Toshiyuki Katsura,
Shigeyuki Kondō and
Matthias Schütt
Mathematische Nachrichten, 2025, vol. 298, issue 6, 1964-1988
Abstract:
We show that K3 surfaces in characteristic 2 can admit sets of n$n$ disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each n=8,12,16,20$n=8,12,16,20$. More precisely, all values occur on supersingular K3 surfaces, with exceptions only at Artin invariants 1 and 10, while on K3 surfaces of finite height, only n=8$n=8$ is possible.
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:298:y:2025:i:6:p:1964-1988
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