English

On the quasi group of a cubic surface over a finite field

Algebraic Geometry 2011-02-08 v1

Abstract

We construct nontrivial homomorphisms from the quasi group of some cubic surfaces over \bbF ⁣p\bbF_{\!p} into a group. We show experimentally that the homomorphisms constructed are the only possible ones and that there are no nontrivial homomorphisms in the other cases. Thereby, we follow the classification of cubic surfaces, due to A. Cayley.

Keywords

Cite

@article{arxiv.1102.1278,
  title  = {On the quasi group of a cubic surface over a finite field},
  author = {Andreas-Stephan Elsenhans and Jörg Jahnel},
  journal= {arXiv preprint arXiv:1102.1278},
  year   = {2011}
}