Details
| Original language | English |
|---|---|
| Pages (from-to) | 206-223 |
| Number of pages | 18 |
| Journal | Journal of algebra |
| Volume | 323 |
| Issue number | 1 |
| Publication status | Published - 1 Jan 2010 |
Abstract
Keywords
- 2-elementary lattice, Delsarte surface, Elliptic surface, K3 surface, Mirror symmetry, Non-symplectic automorphism
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of algebra, Vol. 323, No. 1, 01.01.2010, p. 206-223.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - K3 surfaces with non-symplectic automorphisms of 2-power order
AU - Schütt, Matthias
N1 - Funding information: The author would like to thank S. Kondo¯ for stimulating discussions and the referee for many helpful comments. Funding from DFG under research grant Schu 2266/2-2 is gratefully acknowledged.
PY - 2010/1/1
Y1 - 2010/1/1
N2 - This paper concerns complex algebraic K3 surfaces with an automorphism which acts trivially on the Néron-Severi group. Complementing a result by Vorontsov and Kondō, we determine those K3 surfaces where the order of the automorphism is a 2-power and equals the rank of the transcendental lattice. We also study the arithmetic of these K3 surfaces and comment on relations with mirror symmetry.
AB - This paper concerns complex algebraic K3 surfaces with an automorphism which acts trivially on the Néron-Severi group. Complementing a result by Vorontsov and Kondō, we determine those K3 surfaces where the order of the automorphism is a 2-power and equals the rank of the transcendental lattice. We also study the arithmetic of these K3 surfaces and comment on relations with mirror symmetry.
KW - 2-elementary lattice
KW - Delsarte surface
KW - Elliptic surface
KW - K3 surface
KW - Mirror symmetry
KW - Non-symplectic automorphism
UR - http://www.scopus.com/inward/record.url?scp=70449130636&partnerID=8YFLogxK
UR - https://arxiv.org/abs/0807.3708
U2 - 10.1016/j.jalgebra.2009.06.021
DO - 10.1016/j.jalgebra.2009.06.021
M3 - Article
AN - SCOPUS:70449130636
VL - 323
SP - 206
EP - 223
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
IS - 1
ER -