arXiv 0909.18352009-09math.AG

Cox rings of surfaces and the anticanonical Iitaka dimension

Michela Artebani, Antonio Laface

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

英文摘要：

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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