Frobenius map on local Calabi-Yau manifolds

Mathematics – Algebraic Geometry

Scientific paper

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14 pages

Scientific paper

10.1063/1.3075574

We prove results that, for a certain class of non-compact Calabi-Yau
threefolds, relate the Frobenius action on their $p$-adic cohomology to the
Frobenius action on the $p$-adic cohomology of the corresponding curves. In the
appendix, we describe our interpretation of the Griffiths-Dwork method.

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