Very ampleness of adjoint linear systems on smooth surfaces with boundary
Vladimir Maşek
Source: Nagoya Math. J. Volume 153
(1999), 1-29.
Abstract
Let $M$ be a $\Q$-divisor on a smooth surface over $\C\,$. In this paper we give criteria for very ampleness of the adjoint of $\rup{M}$, the round-up of $M$. (Similar results for global generation were given by Ein and Lazarsfeld and used in their proof of Fujita's Conjecture in dimension 3.) In \S 4 we discuss an example which suggests that this kind of criteria might also be useful in the study of linear systems on surfaces.
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Permanent link to this document: http://projecteuclid.org/euclid.nmj/1114630817
Mathematical Reviews number (MathSciNet): MR1684549
Zentralblatt MATH identifier: 0936.14004
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