Variation of the unit roots along the Dwork family of Calabi-Yau varieties

2007/08/18 by Yu, Jeng-Daw · 1 citation
#11G25 #14D10 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0708.2500

Abstract

We study the variation of unit roots of the Dwork families of Calabi-Yau varieties over a finite field by the method of Dwork-Katz and also from the point of view of formal group laws. A p-adic analytic formula for the unit roots away from the Hasse locus is obtained.

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• On Some Hypergeometric Modularity Conjectures of Dawsey and McCarthy

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