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, MATTEO
2016
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.
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Descrizione: Manuscript revised: Version 24 giu. 2015 - "This is the peer reviewed version of the following article: , Bini, Gilberto, and Matteo Penegini. "New Fourfolds from F‐theory." Mathematische Nachrichten 290.5-6 (2017): 699-709 which has been published in final form at - https://doi.org/10.1002/mana.201400221 - https://onlinelibrary.wiley.com/doi/10.1002/mana.201400221 /. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions." - © 2016 WILEY‐VCH Verlag GmbH & Co. KGaA
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