Representation theory for log-canonical surface singularities

Trond Stølen Gustavsen[1]; Runar Ile[2]

  • [1] Buskerud University College Department of Teacher Education Pb. 7053 3007 Drammen (Norvège)
  • [2] University of Bergen Department of Mathematics Johs. Brunsgt. 12 5008 Bergen (Norvège)

Annales de l’institut Fourier (2010)

  • Volume: 60, Issue: 2, page 389-416
  • ISSN: 0373-0956

Abstract

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We consider the representation theory for a class of log-canonical surface singularities in the sense of reflexive (or equivalently maximal Cohen-Macaulay) modules and in the sense of finite dimensional representations of the local fundamental group. A detailed classification and enumeration of the indecomposable reflexive modules is given, and we prove that any reflexive module admits an integrable connection and hence is induced from a finite dimensional representation of the local fundamental group.

How to cite

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Gustavsen, Trond Stølen, and Ile, Runar. "Representation theory for log-canonical surface singularities." Annales de l’institut Fourier 60.2 (2010): 389-416. <http://eudml.org/doc/116275>.

@article{Gustavsen2010,
abstract = {We consider the representation theory for a class of log-canonical surface singularities in the sense of reflexive (or equivalently maximal Cohen-Macaulay) modules and in the sense of finite dimensional representations of the local fundamental group. A detailed classification and enumeration of the indecomposable reflexive modules is given, and we prove that any reflexive module admits an integrable connection and hence is induced from a finite dimensional representation of the local fundamental group.},
affiliation = {Buskerud University College Department of Teacher Education Pb. 7053 3007 Drammen (Norvège); University of Bergen Department of Mathematics Johs. Brunsgt. 12 5008 Bergen (Norvège)},
author = {Gustavsen, Trond Stølen, Ile, Runar},
journal = {Annales de l’institut Fourier},
keywords = {Surface singularity; maximal Cohen-Macaulay module; integrable connection; elliptic curve; local fundamental group},
language = {eng},
number = {2},
pages = {389-416},
publisher = {Association des Annales de l’institut Fourier},
title = {Representation theory for log-canonical surface singularities},
url = {http://eudml.org/doc/116275},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Gustavsen, Trond Stølen
AU - Ile, Runar
TI - Representation theory for log-canonical surface singularities
JO - Annales de l’institut Fourier
PY - 2010
PB - Association des Annales de l’institut Fourier
VL - 60
IS - 2
SP - 389
EP - 416
AB - We consider the representation theory for a class of log-canonical surface singularities in the sense of reflexive (or equivalently maximal Cohen-Macaulay) modules and in the sense of finite dimensional representations of the local fundamental group. A detailed classification and enumeration of the indecomposable reflexive modules is given, and we prove that any reflexive module admits an integrable connection and hence is induced from a finite dimensional representation of the local fundamental group.
LA - eng
KW - Surface singularity; maximal Cohen-Macaulay module; integrable connection; elliptic curve; local fundamental group
UR - http://eudml.org/doc/116275
ER -

References

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