Details
| Original language | English |
|---|---|
| Pages (from-to) | 1964-1988 |
| Number of pages | 25 |
| Journal | Mathematische Nachrichten |
| Volume | 298 |
| Issue number | 6 |
| Publication status | Published - 14 Jun 2025 |
Abstract
We show that K3 surfaces in characteristic 2 can admit sets of (Formula presented.) disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each (Formula presented.). 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 (Formula presented.) is possible.
Keywords
- characteristic 2, divisor, K3 surface, quasi-elliptic surface
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Mathematische Nachrichten, Vol. 298, No. 6, 14.06.2025, p. 1964-1988.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The 2-divisibility of divisors on K3 surfaces in characteristic 2
AU - Katsura, Toshiyuki
AU - Kondō, Shigeyuki
AU - Schütt, Matthias
N1 - Publisher Copyright: © 2025 The Author(s). Mathematische Nachrichten published by Wiley-VCH GmbH.
PY - 2025/6/14
Y1 - 2025/6/14
N2 - We show that K3 surfaces in characteristic 2 can admit sets of (Formula presented.) disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each (Formula presented.). 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 (Formula presented.) is possible.
AB - We show that K3 surfaces in characteristic 2 can admit sets of (Formula presented.) disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each (Formula presented.). 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 (Formula presented.) is possible.
KW - characteristic 2
KW - divisor
KW - K3 surface
KW - quasi-elliptic surface
UR - http://www.scopus.com/inward/record.url?scp=105006890570&partnerID=8YFLogxK
U2 - 10.1002/mana.12024
DO - 10.1002/mana.12024
M3 - Article
AN - SCOPUS:105006890570
VL - 298
SP - 1964
EP - 1988
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
SN - 0025-584X
IS - 6
ER -