Multiplication maps of linear systems on smooth projective toric surfaces
Multiplication maps of linear systems on smooth projective toric surfaces
复制标题
光滑射影复曲面上线性系统的乘法映射
DOI：
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发表时间：
2002
期刊：
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通讯作者：
N. Fakhruddin
中科院分区：
文献类型：
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作者：
N. Fakhruddin
设X是光滑射影环面，L和M是X上的两条线束。如果L是充足的，M是由全局截面生成的，那么我们证明了从H^0（X，L）张量H^0（X，L）到H^0（X，L）张量M的自然映射是满射的。我们还考虑了M是具有h^0(X，M) >的任意线束的情况的推广。
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.