Duality of Weights, Mirror Symmetry and Arnold's Strange Duality

Details Duality of Weights, Mirror Symmetry and Arnold's Strange Duality Duality of Weights, Mirror Symmetry and Arnold's Strange Duality

1995-02-06

arxiv.org/abs/alg-geom/9502004v1

Mathematics

Algebraic Geometry

22 pages, AmSTeX2.1

Scientific paper

A notion of duality of weight systems which corresponds to Batyrev's toric mirror symmetry is given. Explicit duality on the (1,1)-cohomology of K3 surfaces which are minimal models of toric hypersurfaces is constructed using monomial divisor mirror map of Aspinwall-Greene-Morrison. It is shown that Arnold's strange duality for exceptional unimodal singularities reduces to this duality.

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