Multiplication maps of linear systems on smooth projective toric surfaces
Algebraic Geometry
2016-09-07 v1
Abstract
Let X be a smooth projective toric surface and L and M two line bundles on X. If L is ample and M is generated by global sections, then we show that the natural map from H^0(X,L) tensor H^0(X,M) to H^0(X, L tensor M) is surjective. We also consider a generalization to the case when M is an arbitrary line bundle with h^0(X,M) > 0.
Cite
@article{arxiv.math/0208178,
title = {Multiplication maps of linear systems on smooth projective toric surfaces},
author = {Najmuddin Fakhruddin},
journal= {arXiv preprint arXiv:math/0208178},
year = {2016}
}
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