English

Cox rings of surfaces and the anticanonical Iitaka dimension

Algebraic Geometry 2013-03-28 v3

Abstract

In this paper we investigate the relation between the finite generation of the Cox ring R(X) of a smooth projective surface X and its anticanonical Iitaka dimension k(-K_X).

Keywords

Cite

@article{arxiv.0909.1835,
  title  = {Cox rings of surfaces and the anticanonical Iitaka dimension},
  author = {Michela Artebani and Antonio Laface},
  journal= {arXiv preprint arXiv:0909.1835},
  year   = {2013}
}

Comments

15 pages, 2 figures. Section 4 revised and expanded. Fixed the statement of Lemma 4.4