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arXiv · 1706.06576

Uniform Symbolic Topologies in Normal Toric Rings

Robert M. Walker
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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 $P^{(D N)} \subseteq P^N$ for all $N >0$ and all monomial primes $P$. We compute the multiplier $D$ explicitly in terms of the polyhedral cone data defining $R$. In this toric setting, we draw a connection with the F-signature of $R$ in positive characteristic.

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Robert M. Walker. 2017-06-20. Uniform Symbolic Topologies in Normal Toric Rings. https://doi.org/10.1016/j.jalgebra.2018.05.038

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