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arXiv · 1706.01689

Calabi-Yau 4-folds of Borcea--Voisin type from F-Theory

Andrea Cattaneo·Alice Garbagnati·Matteo Penegini
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Abstract

In this paper, we apply Borcea--Voisin's construction and give new examples of Calabi--Yau fourfolds $Y$, which admit an elliptic fibration onto a smooth threefold $V$, whose singular fibers of type $I_5$ lie above a del Pezzo surface $dP \subset V$. These are relevant models for F-theory according to papers by C. Beasley, J. J. Heckman, C. Vafa. Moreover, at the end of the paper we will give the explicit equations of some of these Calabi--Yau fourfolds and their fibrations.

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Andrea Cattaneo, Alice Garbagnati, Matteo Penegini. 2017-06-06. Calabi-Yau 4-folds of Borcea--Voisin type from F-Theory. https://doi.org/10.2140/pjm.2019.299.1

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