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

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• 作者：Daniel Brinkmann ^{daniel.brinkmann@uni-osnabrueck.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：13A35 ; 13A50 ; 13C14 ; 13D02 ; 13D40 ; 14J17 ; 14J60 ; 20G05
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：469
• 期：Complete
• 页码：358-389
• 全文大小：519 K

文摘

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.