K3 surfaces with non-symplectic automorphisms of 2-power order
- authored by
- Matthias Schütt
- Abstract
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.
- Organisation(s)
-
Institute of Algebraic Geometry
- Type
- Article
- Journal
- Journal of algebra
- Volume
- 323
- Pages
- 206-223
- No. of pages
- 18
- ISSN
- 0021-8693
- Publication date
- 01.01.2010
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory
- Electronic version(s)
-
https://doi.org/10.1016/j.jalgebra.2009.06.021 (Access:
Open)
