English

On the Arithmetic Fundamental Lemma through Lie algebras

Algebraic Geometry 2015-02-11 v1

Abstract

We prove that the Arithmetic Fundamental Lemma conjecture 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=3n=3. The idea for the reduction to the Lie algebra is due to Wei Zhang.

Keywords

Cite

@article{arxiv.1502.02855,
  title  = {On the Arithmetic Fundamental Lemma through Lie algebras},
  author = {Andreas Mihatsch},
  journal= {arXiv preprint arXiv:1502.02855},
  year   = {2015}
}
R2 v1 2026-06-22T08:26:26.651Z