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Calabi–Yau 4-folds of
Borcea–Voisin type from F-theory
Andrea Cattaneo, Alice Garbagnati and Matteo Penegini |
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Vol. 299 (2019), No. 1, 1–31
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Abstract |
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We apply Borcea–Voisin’s construction and give new examples of Calabi–Yau 4-folds , which admit an elliptic fibration onto a smooth 3-fold , whose singular fibers of type lie above a del Pezzo surface . These are relevant models for F-theory according to Beasley et al. (2009a, 2009b). Moreover, we give the explicit equations of some of these Calabi–Yau 4-folds and their fibrations. |
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Keywords
Calabi–Yau manifolds, elliptic fibrations, generalized
Borcea–Voisin's construction, del Pezzo surfaces, K3
surfaces, F-theory
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Mathematical Subject Classification 2010
Primary: 14J32, 14J35, 14J50
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Milestones
Received: 13 July 2017
Revised: 26 February 2018
Accepted: 17 July 2018
Published: 18 April 2019
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Authors |
| Andrea Cattaneo | |
| Université Claude Bernard Lyon
1 Institut Camille Jordan Villeurbanne France |
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| Alice Garbagnati | |
| Dipartimento di Matematica Federigo
Enriques Università degli Studi di Milano Milano Italy |
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| Matteo Penegini | |
| Dipartimento di Matematica -
DIMA Università degli Studi di Genova Genova Italy |
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