English

Cox rings of cubic surfaces and Fano threefolds

Algebraic Geometry 2015-09-15 v3

Abstract

We determine the Cox rings of the minimal resolutions of cubic surfaces with at most rational double points, of blow ups of the projective plane at non-general configurations of six points and of three dimensional smooth Fano varieties of Picard numbers one and two.

Keywords

Cite

@article{arxiv.1409.0799,
  title  = {Cox rings of cubic surfaces and Fano threefolds},
  author = {Ulrich Derenthal and Juergen Hausen and Armand Heim and Simon Keicher and Antonio Laface},
  journal= {arXiv preprint arXiv:1409.0799},
  year   = {2015}
}

Comments

34 pages, section two expanded. To appear in Journal of Algebra