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2018 Families of Calabi-Yau elliptic fibrations in $\mathbb{P} (\mathcal{L}^a \oplus \mathcal{L}^b \oplus \mathcal{O}_B)$
Andrea Cattaneo
Rocky Mountain J. Math. 48(7): 2135-2162 (2018). DOI: 10.1216/RMJ-2018-48-7-2135

Abstract

Let $B$ be a smooth projective surface, and let $\mathcal{L} $ be an ample line bundle on $B$. The aim of this paper is to study the families of elliptic Calabi-Yau threefolds sitting in the bundle $\mathbb{P} (\mathcal{L}^a \oplus \mathcal{L}^b \oplus \mathcal{O}_B)$ as anticanonical divisors. We will show that the number of such families is finite.

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Andrea Cattaneo. "Families of Calabi-Yau elliptic fibrations in $\mathbb{P} (\mathcal{L}^a \oplus \mathcal{L}^b \oplus \mathcal{O}_B)$." Rocky Mountain J. Math. 48 (7) 2135 - 2162, 2018. https://doi.org/10.1216/RMJ-2018-48-7-2135

Information

Published: 2018
First available in Project Euclid: 14 December 2018

zbMATH: 06999257
MathSciNet: MR3892127
Digital Object Identifier: 10.1216/RMJ-2018-48-7-2135

Subjects:
Primary: 14J30, 14J32

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 7 • 2018
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