Modular curves and Mordell-Weil torsion in F-theory

Abstract In this work we prove a bound for the torsion in Mordell-Weil groups of smooth elliptically fibered Calabi-Yau 3- and 4-folds. In particular, we show that the set of torsion groups which can occur on a smooth elliptic Calabi-Yau n-fold is contained in the set of subgroups which appear on a...

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Bibliographic Details
Main Authors: Nadir Hajouji, Paul-Konstantin Oehlmann
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP04(2020)103