On binomial set-theoretic complete intersections in characteristic p

Mathematics – Commutative Algebra

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Scientific paper

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 $p$.

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