Motivic action on coherent cohomology of Hilbert modular varieties

We propose an action of a certain motivic cohomology group on the coherent cohomology of Hilbert modular varieties, extending conjectures of Venkatesh, Prasanna, and Harris. The action is described in two ways: on cohomology modulo p and over C⁠, and we conjecture that they both lift to an action on...

Full description

Bibliographic Details
Main Author: Horawa, A
Format: Journal article
Language:English
Published: Oxford University Press 2022