Families of Motives and the Mumford–Tate Conjecture

We give an overview of some results and techniques related to the Mumford–Tate conjecture for motives over finitely generated fields of characteristic 0. In particular, we explain how working in families can lead to non-trivial results.

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Bibliographic Details
Published in:Milan journal of mathematics 2017-12, Vol.85 (2), p.257-307
Main Author: Moonen, Ben
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
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Description
Summary:We give an overview of some results and techniques related to the Mumford–Tate conjecture for motives over finitely generated fields of characteristic 0. In particular, we explain how working in families can lead to non-trivial results.
ISSN:1424-9286
1424-9294
DOI:10.1007/s00032-017-0273-x