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 Calabi–Yau 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 h1,1 =h2,1 =10.
New fourfolds from F-theory
Penegini M.
2017-01-01
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 Calabi–Yau 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 h1,1 =h2,1 =10.File in questo prodotto:
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