Hilbert-Kunz functions of surface rings of type ADE
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013082711496
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013082711496
| Title: | Hilbert-Kunz functions of surface rings of type ADE |
| Other Titles: | Hilbert-Kunz Funktionen zweidimensionaler Ringe vom Typ ADE |
| Authors: | Brinkmann, Daniel |
| Thesis advisor: | Prof. Dr. Holger Brenner |
| Thesis referee: | Prof. Dr. Claudia Miller |
| 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. |
| URL: | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013082711496 |
| Subject Keywords: | Hilbert-Kunz; ADE singularity; maximal Cohen-Macaulay; vector bundle; Frobenius periodicity; Hilbert-series; syzygy module; matrix factorization; Fermat curve; strongly semistable |
| Issue Date: | 27-Aug-2013 |
| Type of publication: | Dissertation oder Habilitation [doctoralThesis] |
| Appears in Collections: | FB06 - E-Dissertationen |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| thesis_brinkmann.pdf | Präsentationsformat | 804 kB | Adobe PDF | thesis_brinkmann.pdf  View/Open |
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