Cox rings of surfaces and the anticanonical Iitaka dimension

Details Cox rings of surfaces and the anticanonical Iitaka dimension Cox rings of surfaces and the anticanonical Iitaka dimension

2009-09-09

arxiv.org/abs/0909.1835v2

Mathematics

Algebraic Geometry

15 pages, 2 figures. Section 4 revised and expanded

Scientific paper

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).

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