Algebraic Cogroups and Nori-Motives
Javier Fres\'an, Peter Jossen

TL;DR
This paper introduces algebraic cogroups over subfields of complex numbers and demonstrates that all Nori motives over such fields can be represented as quotients of specific motivic cohomology groups, advancing the understanding of motives.
Contribution
It defines algebraic cogroups and proves that every Nori motive is isomorphic to a quotient of a motive of the form H^n(X, Y)(i), providing a new structural insight.
Findings
Every Nori motive over a subfield of complex numbers is a quotient of a motive H^n(X, Y)(i).
Introduction of algebraic cogroups over subfields of complex numbers.
Establishment of a structural characterization of Nori motives.
Abstract
We introduce the notion of algebraic cogroup over a subfield of the complex numbers, and use it to prove that every Nori motive over is isomorphic to a quotient of a motive of the form .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology
