# On a class of non-simply connected Calabi-Yau threefolds

@article{Bouchard2007OnAC, title={On a class of non-simply connected Calabi-Yau threefolds}, author={Vincent Bouchard and Ron Y. Donagi}, journal={arXiv: Algebraic Geometry}, year={2007} }

We obtain a detailed classification for a class of non-simply connected Calabi-Yau threefolds which are of potential interest for a wide range of problems in string phenomenology. These threefolds arise as quotients of Schoen's Calabi-Yau threefolds, which are fiber products over P1 of two rational elliptic surfaces. The quotient is by a freely acting finite abelian group preserving the fibrations. Our work involves a classification of restricted finite automorphism groups of rational elliptic…

## 26 Citations

F-theory on quotients of elliptic Calabi-Yau threefolds

- MathematicsJournal of High Energy Physics
- 2019

Abstract
In this work we consider quotients of elliptically fibered Calabi-Yau threefolds by freely acting discrete groups and the associated physics of F-theory compactifications on such…

Non-simply connected Calabi–Yau threefolds constructed as quotients of Schoen threefolds

- Mathematics
- 2017

The Expanding Zoo of Calabi-Yau Threefolds

- Mathematics
- 2011

This is a short review of recent constructions of new Calabi-Yau threefolds with small Hodge numbers and/or nontrivial fundamental group, which are of particular interest for model building in the…

Calabi-Yau threefolds and heterotic string compactification

- Mathematics
- 2010

This thesis is concerned with Calabi-Yau threefolds and vector bundles upon them, which are the basic mathematical objects at the centre of smooth supersymmetric compactifications of heterotic string…

Heterotic string models on smooth Calabi-Yau threefolds

- Mathematics
- 2013

This thesis contributes with a number of topics to the subject of string compactifications. In the first half of the work, I discuss the Hodge plot of Calabi-Yau threefolds realised as hypersurfaces…

Correspondences between modular Calabi–Yau fiber products

- Mathematics
- 2008

We describe two ways to construct finite rational morphisms between fiber products of rational elliptic surfaces with section and some Calabi–Yau varieties. We use them to construct correspondences…

Calabi‐Yau Threefolds with Small Hodge Numbers

- MathematicsFortschritte der Physik
- 2018

We present a list of Calabi‐Yau threefolds known to us, and with holonomy groups that are precisely SU(3) , rather than a subgroup, with small Hodge numbers, which we understand to be those manifolds…

Modular curves and Mordell-Weil torsion in F-theory

- Mathematics
- 2019

In this work we prove a bound for the torsion in Mordell-Weil groups of smooth elliptically fibered Calabi-Yau 3- and 4-folds. In particular, we show that the set of torsion groups which can occur on…

Exploring a new peak in the heterotic landscape

- Mathematics
- 2008

We study the existence of realistic heterotic vacua on a new Abelian surface fibered Calabi-Yau threefold X with $$ {\mathbb{Z}_8} \times {\mathbb{Z}_8} $$ fundamental group. Our main result is a…

Hodge numbers for CICYs with symmetries of order divisible by 4

- Mathematics
- 2015

We compute the Hodge numbers for the quotients of complete intersection Calabi‐Yau three‐folds by groups of orders divisible by 4. We make use of the polynomial deformation method and the counting of…

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