논문KCI 등재
The Hilbert-Kunz Multiplicity of Two-Dimensional Toric Rings
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Abstract
Recently, K. Watanabe showed that the Hilbert-Kunz multiplicity of a toric ring is a rational number. In this paper we give an explicit formula to compute the Hilbert-Kunz multiplicity of two-dimensional toric rings. This formula also shows that the Hilbert-Kunz multiplicity of a two-dimensional non-regular toric ring is at least 3/2.
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