The Hilbert-Kunz functions of two-dimensional rings of type ADE
| Autor(en): | Brinkmann, Daniel | Stichwörter: | ADE singularity; Frobenius; Hilbert-Kunz function; Hilbert-series; Mathematics; Matrix factorization; Maximal Cohen-Macaulay; MULTIPLICITY; SINGULARITIES; Syzygy module; Vector bundle | Erscheinungsdatum: | 2017 | Herausgeber: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Journal: | JOURNAL OF ALGEBRA | Volumen: | 469 | Startseite: | 358 | Seitenende: | 389 | Zusammenfassung: | 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. (C) 2016 Elsevier Inc. All rights reserved. |
ISSN: | 00218693 | DOI: | 10.1016/j.jalgebra.2016.09.004 |
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