Algebraic Cogroups and Nori-Motives

We introduce the notion of algebraic cogroup over a subfield \(k\) of the complex numbers, and use it to prove that every Nori motive over \(k\) is isomorphic to a quotient of a motive of the form \(H^n(X, Y)(i)\).

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Bibliographic Details
Published in:arXiv.org 2018-05
Main Authors: Fresán, Javier, Jossen, Peter
Format: Article
Language:English
Subjects:
Algebra
Complex numbers
Quotients
Online Access:Get full text
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Summary:We introduce the notion of algebraic cogroup over a subfield \(k\) of the complex numbers, and use it to prove that every Nori motive over \(k\) is isomorphic to a quotient of a motive of the form \(H^n(X, Y)(i)\).
ISSN:2331-8422