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

Authors :
Daniel Brinkmann
Source :
Journal of Algebra. 469:358-389
Publication Year :
2017
Publisher :
Elsevier BV, 2017.

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.

Details

ISSN :
00218693
Volume :
469
Database :
OpenAIRE
Journal :
Journal of Algebra
Accession number :
edsair.doi...........8dabf5e6df7797f6d90d06320a2e176c
Full Text :
https://doi.org/10.1016/j.jalgebra.2016.09.004