Geometry of four-folds with three non-commuting involutions

Jorge Pineiro

Geometry of four-folds with three non-commuting involutions

Number Theory 2013-03-21 v1 Algebraic Geometry

Authors: Jorge Pineiro

Abstract

In this paper we adapt some techniques developed for K3 surfaces, to study the geometry of a family of projective varieties in $\Pl_K^2 \times \Pl_K^2 \times \Pl_K^2$ defined as the intersection of a form of degree $(2,2,2)$ and a form of degree $(1,1,1)$ . Members of the family will be equipped with dominant rational self-maps and we will study the actions of those maps on divisors and compute the first dynamical degrees of the composition of any pair.

Keywords

K3 surfaces projective varieties involutions dynamical degrees divisors rational self-maps

Cite

@article{arxiv.1303.4940,
  title  = {Geometry of four-folds with three non-commuting involutions},
  author = {Jorge Pineiro},
  journal= {arXiv preprint arXiv:1303.4940},
  year   = {2013}
}

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