The Kudla-Rapoport conjecture at a ramified prime for $U(1,1)$

Qiao He, Yousheng Shi, Tonghai Yang

In this paper, we proved a local arithmetic Siegel-Weil formula for a $U(1,1)$-Shimura variety at a ramified prime, a.k.a. a Kudla-Rapoport conjecture at a ramified case. The form…