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.

G. Bini, M. Penegini (2017). New fourfolds from F-theory. MATHEMATISCHE NACHRICHTEN, 290(5-6), 699-709 [10.1002/mana.201400221].

New fourfolds from F-theory

G. Bini;
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 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.
Settore MAT/03 - Geometria
G. Bini, M. Penegini (2017). New fourfolds from F-theory. MATHEMATISCHE NACHRICHTEN, 290(5-6), 699-709 [10.1002/mana.201400221].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/398171
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