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Strange duality of weighted homogeneous polynomials

Algebraic Geometry 2019-02-20 v1 Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1003.1590,
  title  = {Strange duality of weighted homogeneous polynomials},
  author = {Wolfgang Ebeling and Atsushi Takahashi},
  journal= {arXiv preprint arXiv:1003.1590},
  year   = {2019}
}

Comments

21 pages, 1 figure