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On the Arithmetic Fundamental Lemma through Lie algebras
Preprint
10 February 2015
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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 \(n=3\). The idea for the reduction to the Lie algebra is due to Wei Zhang.