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

**Authors:** Andrea Cattaneo, Alice Garbagnati, Matteo Penegini

arXiv: 1706.01689 · 2019-05-08

## TL;DR

This paper constructs new Calabi-Yau fourfolds of Borcea--Voisin type with elliptic fibrations relevant for F-theory, providing explicit equations and examples that expand the known landscape of such geometries.

## Contribution

It introduces new Calabi-Yau fourfolds using Borcea--Voisin construction with specific elliptic fibrations relevant for F-theory models.

## Key findings

- New examples of Calabi-Yau fourfolds with elliptic fibrations over threefolds.
- Explicit equations for some of the constructed fourfolds.
- Identification of singular fibers of type I_5 over del Pezzo surfaces.

## 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.

## Full text

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## References

15 references — full list in the complete paper: https://tomesphere.com/paper/1706.01689/full.md

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Source: https://tomesphere.com/paper/1706.01689