Year: 2003
Type: article
Abstract: We introduce new motivic invariants of arbitrary varieties over a perfect field. These cohomological invariants take values in the category of one-motives (considered up to isogeny in positive characteristic). The algebraic definition of these invariants presented here proves a [1] conjecture of Deligne. Other applications include some cases of conjectures of Serre, Katz, and Jannsen on the independence of ℓ \ell of parts of the étale cohomology of arbitrary varieties over number fields and finite [1] fields.
Source: Journal of Algebraic Geometry
Author: Niranjan Ramachandran
Institution: University of Maryland, College Park
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2953903260