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

TL;DR
This paper investigates how unit roots vary in Dwork families of Calabi-Yau varieties over finite fields, providing a p-adic formula for these roots away from the Hasse locus using Dwork-Katz methods and formal group laws.
Contribution
It introduces a p-adic analytic formula for unit roots in Dwork families, enhancing understanding of their variation over finite fields.
Findings
Derived a p-adic formula for unit roots away from the Hasse locus.
Analyzed the variation of unit roots using Dwork-Katz method.
Connected the variation to formal group laws.
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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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometry and complex manifolds · Algebraic Geometry and Number Theory
