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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Showing 1 to 2 of 2 (0.024 seconds)
1

Hilbert-Kunz theory for binoids

Batsukh, Bayarjargal 19 December 2014 (has links)
We develop Hilbert-Kunz theory in a combinatorial setting namely for binoids. We show that the Hilbert-Kunz multiplicity for commutative, finitely generated, semipositive, cancellative and reduced binoids exists and is a rational number. This implies that the corresponding Hilbert-Kunz multiplicity for the binoid algebras does not depend on the characteristic.
Hilbert-Kunz theory
Binoid
ddc:510
2

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

Brinkmann, Daniel 27 August 2013 (has links)
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.
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

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