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On the arithmetic fundamental lemma through Lie algebras

On the arithmetic fundamental lemma through Lie algebras We prove that the arithmetic fundamental lemma conjecture (AFL) of Wei Zhang is equivalent to a similar conjecture, but for Lie algebras, in the case of non-degenerate intersection. We use this result to give a simplified proof of the AFL for n = 3. The idea for the reduction to the Lie algebra is due to Wei Zhang. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

On the arithmetic fundamental lemma through Lie algebras

Mathematische Zeitschrift , Volume 287 (2) – Jan 7, 2017

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References (18)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-016-1822-7
Publisher site
See Article on Publisher Site

Abstract

We prove that the arithmetic fundamental lemma conjecture (AFL) of Wei Zhang is equivalent to a similar conjecture, but for Lie algebras, in the case of non-degenerate intersection. We use this result to give a simplified proof of the AFL for n = 3. The idea for the reduction to the Lie algebra is due to Wei Zhang.

Journal

Mathematische ZeitschriftSpringer Journals

Published: Jan 7, 2017

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