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

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

2007-08-18

arxiv.org/abs/0708.2500v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

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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