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Very ampleness of adjoint linear systems on smooth surfaces with boundary

Published online by Cambridge University Press:  22 January 2016

Vladimir Maşek
Vladimir Maşek*
Affiliation:
Department of Mathematics, Box 1146, Washington University, St. Louis, MO 63130, vmasek@math.wustl.edu
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Abstract

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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 [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 §4 we discuss an example which suggests that this kind of criteria might also be useful in the study of linear systems on surfaces.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 153 , 1999 , pp. 1 - 29
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1999

References

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