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arxiv: math/0310108 · v3 · submitted 2003-10-08 · 🧮 math.AG · math.AC

Codimension Theorems for Complete Toric Varieties

classification 🧮 math.AG math.AC
keywords codimensioncompletehomogeneoustoricarticleboundscomputecoordinate
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Let X be a complete toric variety with homogeneous coordinate ring S. In this article, we compute upper and lower bounds for the codimension in the critical degree of ideals of S generated by dim(X)+1 homogeneous polynomials that don't vanish simultaneously on X.

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