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arxiv: 1308.5085 · v1 · pith:SHIQRYHEnew · submitted 2013-08-23 · 🧮 math.AC · math.AG· math.RT

The Hilbert-Kunz functions of two-dimensional rings of type ADE

classification 🧮 math.AC math.AGmath.RT
keywords functionshilbert-kunzmodulesringstwo-dimensionaltypecohen-macaulaycompute
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We compute the Hilbert-Kunz functions of two-dimensional rings of type ADE by using representations of their indecomposable, maximal Cohen-Macaulay modules in terms of matrix factorizations, and as first syzygy modules of homogeneous ideals.

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