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 I_5 lie above a del Pezzo surface dPsubset V. These are relevant models for F-theory according to Beasley et al. 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 / A. Cattaneo, A. Garbagnati, M. Penegini. - 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
A. Garbagnati;
2019
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 I_5 lie above a del Pezzo surface dPsubset V. These are relevant models for F-theory according to Beasley et al. 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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