We apply Borcea-Voisin's construction and give new examples of Calabi- Yau 4-folds Y, which admit an elliptic fibration onto a smooth 3-fold V, whose singular fibers of type I5 lie above a del Pezzo surface dP ⊂ V. 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.
Calabi-Yau 4-folds of Borcea-Voisin type from F-theory / Cattaneo, A.; Garbagnati, A.; Penegini, M.. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 0030-8730. - 299:1(2019), pp. 1-31. [10.2140/pjm.2019.299.1]
Calabi-Yau 4-folds of Borcea-Voisin type from F-theory
Cattaneo A.;
2019-01-01
Abstract
We apply Borcea-Voisin's construction and give new examples of Calabi- Yau 4-folds Y, which admit an elliptic fibration onto a smooth 3-fold V, whose singular fibers of type I5 lie above a del Pezzo surface dP ⊂ V. 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.File in questo prodotto:
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