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A Modular Quintic Calabi–Yau Threefold of Level 55

Published online by Cambridge University Press:  20 November 2018

Edward Lee
Edward Lee*
Affiliation:
School of Mathematics, Aras Na Laoi, University College Cork, Cork, Ireland email: edward.lee@post.harvard.edu, e.lee@ucc.ie
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Abstract

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In this note we search the parameter space of Horrocks–Mumford quintic threefolds and locate a Calabi–Yau threefold that is modular, in the sense that the $L$-function of its middle-dimensional cohomology is associated with a classical modular form of weight 4 and level 55.

Keywords

14J1511F2314J3211G40Calabi-Yau threefold, non-rigid Calabi-Yau threefold, two-dimensional Galois representation, modular variety, Horrocks-Mumford vector bundle
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 3 , 01 June 2011 , pp. 616 - 633
Copyright
Copyright © Canadian Mathematical Society 2011

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