Details:
Title  Complete intersections in simplicial toric varieties  Author(s)  Isabel Bermejo, Ignacio GarcíaMarco  Type  Article in Journal  Abstract  Abstract Given a set A = a 1 , … , a n ⊂ N m of nonzero vectors defining a simplicial toric ideal I A ⊂ k [ x 1 , … , x n ] , where k is an arbitrary field, we provide an algorithm for checking whether I A is a complete intersection. This algorithm does not require the explicit computation of a minimal set of generators of I A . The algorithm is based on the application of some new results concerning toric ideals to the simplicial case. For homogeneous simplicial toric ideals, we provide a simpler version of this algorithm. Moreover, when k is an algebraically closed field, we list all idealtheoretic complete intersection simplicial projective toric varieties that are either smooth or have one singular point.  Keywords  Complete intersection, Simplicial toric ideal, Singularities, Algorithm  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717114000881 
Language  English  Journal  Journal of Symbolic Computation  Volume  68, Part 1  Number  0  Pages  265  286  Year  2015  Edition  0  Translation 
No  Refereed 
No 
