Details
| Original language | English |
|---|---|
| Pages (from-to) | 515-522 |
| Number of pages | 8 |
| Journal | Tohoku Mathematical Journal |
| Volume | 65 |
| Issue number | 4 |
| Publication status | Published - Dec 2013 |
Abstract
Keywords
- K3 surface, Lefschetz fixed point formula, Wild automorphism, 14J28, 14G10, 14J27, 14J50
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Tohoku Mathematical Journal, Vol. 65, No. 4, 12.2013, p. 515-522.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - K3 surfaces with an automorphism of order 11
AU - Schütt, Matthias
PY - 2013/12
Y1 - 2013/12
N2 - This paper concerns K3 surfaces with automorphisms of order 11 in arbitrary characteristic. Specifically we study the wild case and prove that a generic such surface in characteristic 11 has Picard number 2. We also construct K3 surfaces with an automorphism of order 11 in every characteristic, and supersingular K3 surfaces whenever possible.
AB - This paper concerns K3 surfaces with automorphisms of order 11 in arbitrary characteristic. Specifically we study the wild case and prove that a generic such surface in characteristic 11 has Picard number 2. We also construct K3 surfaces with an automorphism of order 11 in every characteristic, and supersingular K3 surfaces whenever possible.
KW - K3 surface
KW - Lefschetz fixed point formula
KW - Wild automorphism
KW - 14J28
KW - 14G10
KW - 14J27
KW - 14J50
UR - http://www.scopus.com/inward/record.url?scp=84898886694&partnerID=8YFLogxK
U2 - 10.2748/tmj/1386354293
DO - 10.2748/tmj/1386354293
M3 - Article
AN - SCOPUS:84898886694
VL - 65
SP - 515
EP - 522
JO - Tohoku Mathematical Journal
JF - Tohoku Mathematical Journal
SN - 0040-8735
IS - 4
ER -