Cox rings of surfaces and the anticanonical Iitaka dimension

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).

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

References in corpus (2)

• Big rational surfaces
• On Cox rings of K3-surfaces