New fourfolds from F-theory

Abstract

In this paper, we apply Borcea-Voisin's construction and give new examples of fourfolds containing a del Pezzo surface of degree six, which admit an elliptic fibration on a smooth threefold. Some of these fourfolds are CalabiYau varieties, which are relevant for the N = 1 compactification of Type IIB string theory known as F- theory. As a by- product, we provide a new example of a Calabi- Yau threefold with Hodge numbers h(1,1) = h(2,1) = 10.