• DOI:10.1007/S002220000087
Corpus ID: 28636713

Height pairings on Shimura curves and p-adic uniformization

@article{Kudla1998HeightPO,
  title={Height pairings on Shimura curves and p-adic uniformization},
  author={S. Kudla and M. Rapoport},
  journal={Inventiones mathematicae},
  year={1998},
  volume={142},
  pages={153-223}
}

• S. Kudla, M. Rapoport
• Published 1998
• Mathematics
• Inventiones mathematicae

In a recent paper [16] of one of us it was shown that there is a close connection between the value of the height pairing of certain arithmetic 0-cycles on Shimura curves and the values at the center of their symmetry of the derivatives of certain metaplectic Eisenstein series of genus 2. On the one hand, the height pairing can be written as a sum of local height pairings. For example, if the 0-cycles have disjoint support on the generic fiber, then their height pairing is a sum of an… Expand

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