• Corpus ID: 215768671

Special cycles on unitary Shimura curves at ramified primes

  title={Special cycles on unitary Shimura curves at ramified primes},
  author={Yousheng Shi},
  journal={arXiv: Algebraic Geometry},
  • Yousheng Shi
  • Published 13 April 2020
  • Mathematics
  • arXiv: Algebraic Geometry
In this paper, we study special cycles on the Kramer model of $\mathrm{GU}(1,1)(F)$ Rapoport-Zink spaces where $F$ is a ramified extension of $\mathbb{Q}_p$ with the assumption that the underlying hermitian form on the Dieudonne module of the framing object of the Rapoport-Zink space is aniostropic. We write down the decomposition of these special cycles and compute their intersection numbers. We then apply the local results to compute the intersection numbers of special cycles on unitary… 
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Inventiones mathematicae
  • 84(2):321–326,
  • 1986