The Lambda-adic Eichler-Shimura isomorphism and p-adic etale cohomology

2013/03/02 by Preston Wake, Wake, Preston
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1303.0406

Abstract

We give a new proof of Ohta's Lambda-adic Eichler-Shimura isomorphism using p-adic Hodge theory and the results of Bloch-Kato and Hyodo on p-adic etale cohomology.

Related

• The Geometry of Hida Families I: Λ-adic de Rham cohomology
• The Geometry of Hida Families and Λ-adic Hodge Theory
• Notes on isocrystals
• l-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients
• Semisimplicity of étale cohomology of certain Shimura varieties