English

The Alternating Groups and K3 Surfaces

Algebraic Geometry 2007-05-23 v1

Abstract

In this note, we consider all possible extensions G of a non-trivial perfect group H acting faithfully on a K3 surface X. The pair (X, G) is proved to be uniquely determined by G if the transcendental value of G is maximum. In particular, we have G/H < Z/(2) + Z/(2), if H is the alternating group A_5 and normal in G.

Keywords

Cite

@article{arxiv.math/0506610,
  title  = {The Alternating Groups and K3 Surfaces},
  author = {D. -Q. Zhang},
  journal= {arXiv preprint arXiv:math/0506610},
  year   = {2007}
}

Comments

Journal of Pure and Applied Algebra (21 pages) to appear