Very ampleness of adjoint linear systems on smooth surfaces with boundary

Details Very ampleness of adjoint linear systems on smooth surfaces with boundary Very ampleness of adjoint linear systems on smooth surfaces with boundary

1997-09-17

arxiv.org/abs/alg-geom/9709020v1

Mathematics

Algebraic Geometry

22 pages, AMS-LaTeX 1.2

Scientific paper

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 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 the last section 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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