English

Classification of non-symplectic automorphisms of order 3 on $K3$ surfaces

Algebraic Geometry 2010-12-27 v2

Abstract

In this paper, we study non-symplectic automorphisms of order 3 on algebraic K3K3 surface over C\mathbb{C} which act trivially on the N\'{e}ron-Severi lattice. In particular we shall characterize their fixed locus in terms of the invariants of 3-elementary lattices.

Keywords

Cite

@article{arxiv.0802.1956,
  title  = {Classification of non-symplectic automorphisms of order 3 on $K3$ surfaces},
  author = {Shingo Taki},
  journal= {arXiv preprint arXiv:0802.1956},
  year   = {2010}
}

Comments

19 pages, to appear in Math. Nachr