Details
| Original language | English |
|---|---|
| Article number | 106998 |
| Number of pages | 35 |
| Journal | Advances in mathematics |
| Volume | 363 |
| Early online date | 24 Jan 2020 |
| Publication status | Published - 25 Mar 2020 |
Abstract
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In: Advances in mathematics, Vol. 363, 106998, 25.03.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Semi-Calabi–Yau orbifolds and mirror pairs
AU - Chiodo, Alessandro
AU - Kalashnikov, Elana
AU - Veniani, Davide Cesare
N1 - Funding information: The work of the second author was supported by the Engineering and Physical Sciences Research Council [ EP/L015234/1 ], the EPSRC Centre for Doctoral Training in Geometry and Number Theory (The London School of Geometry and Number Theory), University College London. The work of the first author was supported by the Agence nationale de la recherche project ANR-17-CE40-0014 , “Categorification in Algebraic Geometry” and project ANR-18-CE40-0009 , “Symplectic, real, and tropical aspects of enumerative geometry”.
PY - 2020/3/25
Y1 - 2020/3/25
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85078145678&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1509.06685
DO - 10.48550/arXiv.1509.06685
M3 - Article
AN - SCOPUS:85078145678
VL - 363
JO - Advances in mathematics
JF - Advances in mathematics
SN - 0001-8708
M1 - 106998
ER -