Arithmetic intersection on GSpin Rapoport-Zink spaces
Number Theory
2019-02-20 v1 Algebraic Geometry
Abstract
We prove an explicit formula for the arithmetic intersection number of diagonal cycles on GSpin Rapoport-Zink spaces in the minuscule case. This is a local problem arising from the arithmetic Gan-Gross-Prasad conjecture for orthogonal Shimura varieties. Our formula can be viewed as an orthogonal counterpart of the arithmetic-geometric side of the arithmetic fundamental lemma proved by Rapoport-Terstiege-Zhang in the minuscule case.
Cite
@article{arxiv.1702.07848,
title = {Arithmetic intersection on GSpin Rapoport-Zink spaces},
author = {Chao Li and Yihang Zhu},
journal= {arXiv preprint arXiv:1702.07848},
year = {2019}
}
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