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math.AG1999
Arithmetic Hirzebruch Zagier cycles
S. Kudla, M. Rapoport
We define special cycles on arithmetic models of twisted Hilbert-Blumenthal surfaces at primes of good reduction. These are arithmetic versions of these cycles. In particular, we c…
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…