Height pairings on Shimura curves and p-adic uniformization
代数几何
2007-05-23 v1
摘要
We establish a relation between intersection numbers of special cycles on a Shimura curve and special values of derivatives of metaplectic Eisenstein series at a place of bad reduction where p-adic uniformization in the sense of Cherednik and Drinfeld holds. The result extends the one established by one of us (S. Kudla: Ann. of Math. 146 (1997)) for the archimedean place and for the non-archimedean places of good reduction. The bulk of the paper is concerned with the corresponding problem on the Drinfeld upper half plane (the formal scheme version).
引用
@article{arxiv.math/9809149,
title = {Height pairings on Shimura curves and p-adic uniformization},
author = {S. Kudla and M. Rapoport},
journal= {arXiv preprint arXiv:math/9809149},
year = {2007}
}
备注
82 pages, 1 figure, Postscript