[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2003.40.2.169

THE HILBERT-KUNZ MULTIPLICITY OF TWO-DIMENSIONAL TORIC RINGS

Choi, Sang-Ki (Department of Mathematics Education Konkuk University)
Hong, Seok-Young (Department of Mathematics Education Konkuk University)

Publication Information

Journal of the Korean Mathematical Society / v.40, no.2, 2003 , pp. 169-177 More about this Journal

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.

Keywords

Hilbert-Kunz multiplicity; normal semi-group; toric ring;

Citations & Related Records

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Reference

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