TL;DR
This paper introduces a new way to measure the height of mixed motives over number fields, extending previous concepts used for pure motives.
Contribution
It defines the height of a mixed motive over a number field, generalizing earlier work on pure motives.
Findings
Established a formal definition of height for mixed motives.
Extended the concept of height from pure to mixed motives.
Provided foundational groundwork for future research in motive heights.
Abstract
We define the height of a mixed motive over a number field extending our previous work for pure motives.
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 · Analytic Number Theory Research · History and Theory of Mathematics