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arxiv: 0709.0864 · v2 · submitted 2007-09-06 · 🧮 math.AC · math.AG

On binomial set-theoretic complete intersections in characteristic p

classification 🧮 math.AC math.AG
keywords characteristiccompleteprimeset-theoreticaffinearitmethicbinomialbinomials
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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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