Strange duality of weighted homogeneous polynomials

By W. Ebeling, A. Takahashi. Compositio Mathematica, 2010

67 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Applied Mathematics, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/f78222db9c4874e8394dc30bcac644c7d0a99746

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In Algebra and Number Theory

1. D. Kussin
2. H. Lenzing
3. H. Meltzer

In Applied Mathematics

1. D. Kussin
2. H. Lenzing
3. H. Meltzer

Citations in the corpus

• Triangle singularities, ADE-chains, and weighted projective lines (2012, background): “This latter aspect, in particular, includes the aspects of strange duality [13, 14] and mirror symmetry [12, 70].”