Article ID Journal Published Year Pages File Type
4583775 Journal of Algebra 2016 22 Pages PDF
Abstract

Let X   be the blow up of P2P2 at r   general points p1,…,pr∈P2p1,…,pr∈P2. We study line bundles on X given by plane curves of degree d   passing through pipi with multiplicity at least mimi. Motivated by results in [39], we establish conditions for ampleness, very ampleness and global generation of such line bundles.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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