We classify minimal pairs X, G for smooth rational projective surface X and finite group G of automorphisms on X. We also determine the fixed locus X G and the quotient surface Y s XrG as well as the fundamental group of the smooth part of Y. The realization of each pair is included. Mori's extremal
β¦ LIBER β¦
Classification of non-symplectic automorphisms of order 3 on K3 surfaces
β Scribed by Shingo Taki
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 155 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
In this paper, we study non-symplectic automorphisms of order 3 on algebraic K3 surfaces over C which act trivially on the NΓ©ron-Severi lattice. In particular we shall characterize their fixed loci in terms of the invariants of 3-elementary lattices.
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