2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138996Using 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 $p$.Commutative AlgebraAlgebraic Geometry14M10; 13E15; 14M25; 20M05text