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}
}
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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References

SHOWING 1-10 OF 23 REFERENCES
Arithmetic Hirzebruch Zagier cycles
  • 69
  • PDF
Points on some Shimura varieties over finite fields
  • 386
  • PDF
An Explicit Formula for Local Densities of Quadratic Forms
  • 79
  • Highly Influential
  • PDF
Heegner points, p-adic L-functions, and the Cerednik-Drinfeld uniformization
  • 63
  • PDF
Coverings of p-adic symmetric regions
  • 111
An explicit formula for Siegel series
  • 63
Introduction to commutative algebra
  • 3,590
Espaces symétriques de Drinfeld
  • 27
  • PDF
...
1
2
3
...