Duality of Weights, Mirror Symmetry and Arnold's Strange Duality
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.alg-geom/9502004,
title = {Duality of Weights, Mirror Symmetry and Arnold's Strange Duality},
author = {Masanori Kobayashi},
journal= {arXiv preprint arXiv:alg-geom/9502004},
year = {2008}
}
Comments
22 pages, AmSTeX2.1