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arXiv · 2312.16906

On the Kudla-Rapoport conjecture for unitary Shimura varieties with maximal parahoric level structure at unramified primes

Sungyoon Cho·Qiao He·Zhiyu Zhang
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Abstract

In this article, we prove that a version of Tate conjectures for certain Deligne-Lusztig varieties implies the Kudla-Rapoport conjecture for unitary Shimura varieties with maximal parahoric level at unramified primes. Furthermore, we prove that the Kudla-Rapoport conjecture holds unconditionally for several new cases in any dimension.

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Sungyoon Cho, Qiao He, Zhiyu Zhang. 2023-12-28. On the Kudla-Rapoport conjecture for unitary Shimura varieties with maximal parahoric level structure at unramified primes. https://arxiv.org/abs/2312.16906

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