Projections of cones and the arithmetical rank of toric varieties

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dc.creatorKatsabekis, Anargyros
dc.date2004-10-11
dc.date.accessioned2026-07-07T05:13:09Z
dc.date.available2026-07-07T05:13:09Z
dc.descriptionLet $I_M$ and $I_N$ be defining ideals of toric varieties such that $I_M$ is a projection of $I_N$, i.e. $I_N \subseteq I_M$. We give necessary and sufficient conditions for the equality $I_M=rad(I_N+(f_1,...,f_s))$, where $f_1,...,f_s$ belong to $I_M$. 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.
dc.descriptionTo appear in the Journal of Pure and Applied Algebra
dc.identifierhttps://arxiv.org/abs/math/0410264
dc.identifierhttp://arxiv.org/abs/math/0410264
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72843
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject14M25; 13F55
dc.titleProjections of cones and the arithmetical rank of toric varieties
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