The present paper is dedicated to illustrating an extension of polar duality between Fano toric varieties to a more general duality, called 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

Rossi, M. (2022). An extension of polar duality of toric varieties and its consequences in Mirror Symmetry. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 26(5), 1449-1541 [10.4310/ATMP.2022.v26.n5.a9].

An extension of polar duality of toric varieties and its consequences in Mirror Symmetry

Rossi, Michele
2022

Abstract

The present paper is dedicated to illustrating an extension of polar duality between Fano toric varieties to a more general duality, called 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
Articolo in rivista - Articolo scientifico
Mirror symmetry, fan, polytope, Toric variety, Gale duality, fan matrix, weight matrix, resolution of singularities, complete intersection, covering stack
English
30-mar-2023
2022
26
5
1449
1541
open
Rossi, M. (2022). An extension of polar duality of toric varieties and its consequences in Mirror Symmetry. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 26(5), 1449-1541 [10.4310/ATMP.2022.v26.n5.a9].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/408676
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