Semi-Calabi–Yau orbifolds and mirror pairs

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Alessandro Chiodo
  • Elana Kalashnikov
  • Davide Cesare Veniani

Organisationseinheiten

Externe Organisationen

  • Universite Paris 6
  • Harvard University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer106998
Seitenumfang35
FachzeitschriftAdvances in mathematics
Jahrgang363
Frühes Online-Datum24 Jan. 2020
PublikationsstatusVeröffentlicht - 25 März 2020

Abstract

We generalize the cohomological mirror duality of Borcea and Voisin in any dimension and for any number of factors. Our proof applies to all examples which can be constructed through Berglund–Hübsch duality. Our method is a variant of the so-called Landau–Ginzburg/Calabi–Yau correspondence of Calabi–Yau orbifolds with an involution that does not preserve the volume form. We deduce a version of mirror duality for the fixed loci of the involution, which are beyond the Calabi–Yau category and feature hypersurfaces of general type.

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Semi-Calabi–Yau orbifolds and mirror pairs. / Chiodo, Alessandro; Kalashnikov, Elana; Veniani, Davide Cesare.
in: Advances in mathematics, Jahrgang 363, 106998, 25.03.2020.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Chiodo A, Kalashnikov E, Veniani DC. Semi-Calabi–Yau orbifolds and mirror pairs. Advances in mathematics. 2020 Mär 25;363:106998. Epub 2020 Jan 24. doi: 10.48550/arXiv.1509.06685, 10.1016/j.aim.2020.106998
Chiodo, Alessandro ; Kalashnikov, Elana ; Veniani, Davide Cesare. / Semi-Calabi–Yau orbifolds and mirror pairs. in: Advances in mathematics. 2020 ; Jahrgang 363.
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