• 제목/요약/키워드: Hilbert-Kunz multiplicity

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THE HILBERT-KUNZ MULTIPLICITY OF TWO-DIMENSIONAL TORIC RINGS

  • Choi, Sang-Ki;Hong, Seok-Young
    • 대한수학회지
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    • 제40권2호
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    • pp.169-177
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    • 2003
  • 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.