Finite polynomial cohomology with coefficients
Number Theory
2024-10-08 v3 Algebraic Geometry
Abstract
We introduce a theory of finite polynomial cohomology with coefficients in this paper. We prove several basic properties and introduce an Abel-Jacobi map with coefficients. As applications, we use such a cohomology theory to study arithmetics of compact Shimura curves over , and simplify proofs of the works of Darmon-Rotger and Bertolini-Darmon-Prasanna.
Cite
@article{arxiv.2209.10289,
title = {Finite polynomial cohomology with coefficients},
author = {Ting-Han Huang and Ju-Feng Wu},
journal= {arXiv preprint arXiv:2209.10289},
year = {2024}
}