OVERCONVERGENT MODULAR AND DE RHAM SHEAVES AND P-ADIC ITERATION OF THE GAUSS-MANIN CONNECTION

We construct p-adic iteration of the Gauss-Manin connection on overconvergent sheaves of de Rham classes on Hilbert modular varieties in the case p is unramified in the totally real field. This is a generalization of the work of Andreatta-Iovita in the case of elliptic curves, using a technique that marks an improvement on their approach in terms of convergence of the iterates of the connection.

Grantor dc:publisher

Università degli Studi di Milano

Year dc:date

2022

Author dc:creator

• KAZI, ANANYO

Contributors dc:contributor

• tutor: F. Andreatta ; coordinatore: D. Bambusi
• A. Kazi
• ANDREATTA, FABRIZIO
• BAMBUSI, DARIO PAOLO

• p-adic modular form
• Hilbert modular form
• Settore MAT/02 - Algebra

Statement dc:rights

• info:eu-repo/semantics/openAccess

Language dc:language

eng

Identifier

http://dx.doi.org/10.13130/kazi-ananyo_phd2022-12-21
10.13130/kazi-ananyo_phd2022-12-21

OAI identifier oai:identifier

oai:air.unimi.it:2434/949088