Multiplication maps of linear systems on smooth projective toric surfaces

Details Multiplication maps of linear systems on smooth projective toric surfaces Multiplication maps of linear systems on smooth projective toric surfaces

2002-08-23

arxiv.org/abs/math/0208178v1

Mathematics

Algebraic Geometry

1 figure

Scientific paper

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.

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