Variation of the unit roots along the Dwork family of Calabi-Yau varieties
classification
🧮 math.AG
math.NT
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rootsunitcalabi-yaudworkvariationvarietiesalonganalytic
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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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