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

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.

arXiv commentThis paper contains many mistakes, and would require substantial revisions to make it suitable for publication. Because there are several recent articles covering similar material (see the articles arXiv:1407.5707 and arXiv:1407.5709 of B. Cais), I don't plan to make these revisions at this time