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Uniform Symbolic Topologies in Normal Toric Rings

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Abstract Given a normal toric algebra R , we compute a uniform integer D = D ( R ) > 0 such that the symbolic power P ( D N… Click to show full abstract

Abstract Given a normal toric algebra R , we compute a uniform integer D = D ( R ) > 0 such that the symbolic power P ( D N ) ⊆ P N for all N > 0 and all monomial primes P . We compute the multiplier D explicitly in terms of the polyhedral cone data defining R , illustrating the output for Segre–Veronese algebras.

Keywords: toric rings; symbolic topologies; normal toric; topologies normal; uniform symbolic

Journal Title: Journal of Algebra
Year Published: 2018

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