Full paper in PDF format:
$%M. Barile, On binomial set-theoretic complete intersections in characteristic p, Rev. Mat. Complut. 21 (2008), no. 1, 265–282.%$

Using arithmetic conditions on affine semigroups we prove that for a simplicial toric variety of codimension the property of being a set-theoretic complete intersection on binomials in characteristic holds either for all primes , or for no prime , or for exactly one prime .

Key words: toric variety, set-theoretic complete intersection, affine semigroup, p-gluing.
2000 Mathematics Subject Classification: 14M10; 13E15, 14M25, 20M05.