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Multiplication maps of linear systems on smooth projective toric surfaces

Najmuddin Fakhruddin
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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.

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Najmuddin Fakhruddin. 2002-08-23. Multiplication maps of linear systems on smooth projective toric surfaces. https://arxiv.org/abs/math/0208178

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