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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Bibliographic Details
Published in:Mathematische annalen 2009, Vol.343 (1), p.53-78
Main Author: Yu, Jeng-Daw
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-008-0265-9