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math.AG1998
Height pairings on Shimura curves and p-adic uniformization
S. Kudla, M. Rapoport
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 reduc…
math.NT1998
A peculiar modular form of weight one
Stephen S. Kudla, Michael Rapoport, Tonghai Yang
In this paper we construct a modular form f of weight one attached to an imaginary quadratic field K. This form, which is non-holomorphic and not a cusp form, has several curious p…