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arXiv · 1702.07848

Arithmetic intersection on GSpin Rapoport-Zink spaces

Chao Li·Yihang Zhu
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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.

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Chao Li, Yihang Zhu. 2017-02-25. Arithmetic intersection on GSpin Rapoport-Zink spaces. https://doi.org/10.1112/s0010437x18007108

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