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.
New fourfolds from F-theory / G. Bini, M. Penegini. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - 290:5-6(2017), pp. 699-709.
New fourfolds from F-theory
G. Bini
Primo
;M. PeneginiSecondo
2017
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.
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