On binomial set-theoretic complete intersections in characteristic p

Abstract

Using aritmethic conditions on affine semigroups we prove that for a simplicial toric variety of codimension 2 the property of being a set-theoretic complete intersection on binomials in characteristic $p$ holds either for all primes $p$, or for no prime $p$, or for exactly one prime $p$.

References in corpus (2)

• On toric varieties of high arithmetical rank
• On simplicial toric varieties of codimension 2