ABSTRACT
MARGHERITA BARILE Dipartimento di Matematica, Universita degli Studi di Bari, Via Orabona 4, 70125 Bari (ITALY) MARCEL MORALES Universite de Grenoble I, Institut Fourier, UMR 5582, B.P.74, 38402 Saint-Martin D'Heres Cedex, and IUFM de Lyon, 5 rue Anselme, 69317 Lyon Gedex (FRANCE) APOSTOLOS THOMA Department of Mathematics, University of loannina, loannina 45110 (GREECE)
1 INTRODUCTION
The determination of the minimum number of equations needed to define an algebraic variety V set-theoretically or ideal-theoretically is an old and important problem in Algebraic Geometry. The defining ideal of a toric variety is generated by binomials. In [1] we have proven that in characteristic zero a simplicial toric variety is a set-theoretic complete intersection on binomials if and only if it is a complete intersection on the same set of binomials. In this paper we want to give a numerical criterion which characterizes a special class of complete intersection toric varieties in characteristic zero.
