Hilbert-Kunz functions of surface rings of type ADE / Hilbert-Kunz Funktionen zweidimensionaler Ringe vom Typ ADE

Description

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.

Links & Downloads

1. https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013082711496

Tags

Hilbert-Kunz

ADE singularity

maximal Cohen-Macaulay

vector bundle

Frobenius periodicity

Hilbert-series

syzygy module

matrix factorization

Fermat curve

strongly semistable

31.51 - Algebraische Geometrie

31.23 - Ideale, Ringe, Moduln, Algebren

ddc:510

Additional Fields

Identifer	oai:union.ndltd.org:uni-osnabrueck.de/oai:repositorium.ub.uni-osnabrueck.de:urn:nbn:de:gbv:700-2013082711496
Date	27 August 2013
Creators	Brinkmann, Daniel
Contributors	Prof. Dr. Holger Brenner, Prof. Dr. Claudia Miller
Source Sets	Universität Osnabrück
Language	English
Detected Language	English
Type	doc-type:doctoralThesis
Format	application/pdf, application/zip
Rights	http://rightsstatements.org/vocab/InC/1.0/