An extension of polar duality of toric varieties and its consequences in Mirror Symmetry
arXiv:2003.08700 · doi:10.4310/ATMP.2022.v26.n5.a9
Abstract
The present paper is dedicated to illustrating an extension of polar duality between Fano toric varieties to a more general duality, called \emph{framed} duality, so giving rise to a powerful and unified method of producing mirror partners of hypersurfaces and complete intersections in toric varieties, of any Kodaira dimension. In particular, the class of projective hypersurfaces and their mirror partners are studied in detail. Moreover, many connections with known Landau-Ginzburg mirror models, Homological Mirror Symmetry and Intrinsic Mirror Symmetry, are discussed.
Major improvements suggested by the Referee, to whom all my thanks go. Final version to apper in Advances of Theoretical and Mathematical Physics