Variation of the unit root along the Dwork family of Calabi–Yau varieties

We study the variation of the unit roots of members 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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Published in:Mathematische annalen 2009, Vol.343 (1), p.53-78
Main Author: Yu, Jeng-Daw
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Language:English
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Mathematics
Mathematics and Statistics
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description We study the variation of the unit roots of members 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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title Variation of the unit root along the Dwork family of Calabi–Yau varieties
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