Article ID Journal Published Year Pages File Type
9497516 Journal of Pure and Applied Algebra 2005 15 Pages PDF
Abstract
Let IM and IN be defining ideals of toric varieties such that IM is a projection of IN, i.e. IN⊆IM. We give necessary and sufficient conditions for the equality IM=rad(IN+(f1,…,fs)), where f1,…,fs belong to IM. Also, a method for finding toric varieties which are set-theoretic complete intersection is given. Finally, we apply our method in the computation of the arithmetical rank of certain toric varieties and provide the defining equations of the above toric varieties.
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Physical Sciences and Engineering Mathematics Algebra and Number Theory
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