Work

Finite polynomial cohomology with coefficients

Year: 2024

Type: article

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 this cohomology theory to study the arithmetic of compact Shimura curves over \mathbb{Q} and to simplify the proofs of the works of Darmon–Rotger and Bertolini–Darmon–Prasanna.

Source: Rendiconti del Seminario Matematico della Università di Padova

DOI: 10.4171/rsmup/173

Authors: Ting-Han Huang, Ju-Feng Wu

Institutions: Université Sorbonne Paris Nord, University College Dublin

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond