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
2022
26
5
1449
1541
partially_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].
File in questo prodotto:
File Dimensione Formato  
Rossi-2022-ATMP-AAM.pdf

accesso aperto

Descrizione: Article
Tipologia di allegato: Author’s Accepted Manuscript, AAM (Post-print)
Licenza: Altro
Dimensione 933.76 kB
Formato Adobe PDF
933.76 kB Adobe PDF Visualizza/Apri
Rossi-2022-ATMP-VoR.pdf

Solo gestori archivio

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Licenza: Tutti i diritti riservati
Dimensione 833.99 kB
Formato Adobe PDF
833.99 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/408676
Citazioni
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
Social impact