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Strange duality of weighted homogeneous polynomials

Published online by Cambridge University Press:  26 April 2011

Wolfgang Ebeling
Affiliation:
Institut für Algebraische Geometrie, Leibniz Universität Hannover, Postfach 6009, D-30060 Hannover, Germany (email: [email protected])
Atsushi Takahashi
Affiliation:
Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan (email: [email protected])
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Abstract

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We consider a mirror symmetry between invertible weighted homogeneous polynomials in three variables. We define Dolgachev and Gabrielov numbers for them and show that we get a duality between these polynomials generalizing Arnold’s strange duality between the 14 exceptional unimodal singularities.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2011

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