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Frobenius map on local Calabi–Yau manifolds

2008/10/13 by I. Shapiro, Ilya Shapiro
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math-ph #math.AG #math.MP

paper · pdf · doi:10.1063/1.3075574

14 pages

arxiv created 2008/10/13 · openalex publication_date 2009/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove results that, for a certain class of noncompact 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.

Citations