English

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

Commutative Algebra 2013-08-26 v1 Algebraic Geometry Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1308.5085,
  title  = {The Hilbert-Kunz functions of two-dimensional rings of type ADE},
  author = {Daniel Brinkmann},
  journal= {arXiv preprint arXiv:1308.5085},
  year   = {2013}
}

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