arXiv:1003.1590 [math.AG]AbstractReferencesReviewsResources
Strange duality of weighted homogeneous polynomials
Wolfgang Ebeling, Atsushi Takahashi
Published 2010-03-08Version 1
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.
Comments: 21 pages, 1 figure
Keywords: weighted homogeneous polynomials, polynomials generalizing arnolds strange duality, exceptional unimodal singularities, define dolgachev, gabrielov numbers
Tags: journal article
Related articles: Most relevant | Search more
A note on exceptional unimodal singularities and K3 surfaces
arXiv:1902.01751 [math.AG] (Published 2019-02-05)
A new characterization of exceptional unimodal singularities
arXiv:1305.6268 [math.AG] (Published 2013-05-27)
A geometric definition of Gabrielov numbers