A geometric construction of Coxeter-Dynkin diagrams of bimodal singularities

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Wolfgang Ebeling
  • David Ploog

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Details

OriginalspracheEnglisch
Seiten (von - bis)195-212
Seitenumfang18
FachzeitschriftManuscripta mathematica
Jahrgang140
Ausgabenummer1-2
PublikationsstatusVeröffentlicht - 2013

Abstract

We consider the Berglund-Hübsch transpose of a bimodal invertible polynomial and construct a triangulated category associated to the compactification of a suitable deformation of the singularity. This is done in such a way that the corresponding Grothendieck group with the (negative) Euler form can be described by a graph which corresponds to the Coxeter-Dynkin diagram with respect to a distinguished basis of vanishing cycles of the bimodal singularity.

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A geometric construction of Coxeter-Dynkin diagrams of bimodal singularities. / Ebeling, Wolfgang; Ploog, David.
in: Manuscripta mathematica, Jahrgang 140, Nr. 1-2, 2013, S. 195-212.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Ebeling W, Ploog D. A geometric construction of Coxeter-Dynkin diagrams of bimodal singularities. Manuscripta mathematica. 2013;140(1-2):195-212. doi: 10.1007/s00229-012-0536-3
Ebeling, Wolfgang ; Ploog, David. / A geometric construction of Coxeter-Dynkin diagrams of bimodal singularities. in: Manuscripta mathematica. 2013 ; Jahrgang 140, Nr. 1-2. S. 195-212.
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