A conjecture of Deligne on one-motives
Year: 1998
Type: preprint
Abstract: . We introduce new motivic invariants of schemes over a perfect field. These cohomological invariants take values in the category of 1-motives (considered up to isogeny). The algebraic definition of these invariants presented here proves a isogeny version of a conjecture of Deligne. We also present an application to the independence of ℓ of parts of the étale cohomology of arbitrary schemes over finite fields. Version II: Submitted for publication 19 June 1998 Recall the purely algebraic construction of the Jacobian of a curve (previously described by transcendental means) due to A. Weil. This was the main ingredient in his proof of the Riemann hypothesis for curves over finite fields. The Jacobian is the only motivic invariant of a smooth projective
Source: arXiv (Cornell University)
Author: Niranjan Ramachandran
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2954893888