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Codimension theorems for complete toric varieties
Authors:David Cox   Alicia Dickenstein
Affiliation:Department of Mathematics and Computer Science, Amherst College, Amherst, Massachusetts 01002-5000 ; Departamento de Matemática, F.C.E. y N., Universidad de Buenos Aires, Cuidad Universitaria--Pabellón I, 1428 Buenos Aires, Argentina
Abstract: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 do not vanish simultaneously on $X$.

Keywords:Toric variety
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