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Unitary cycles on Shimura curves and the Shimura lift II
2014
Compositio Mathematica
AbstractWe consider two families of arithmetic divisors defined on integral models of Shimura curves. The first was studied by Kudla, Rapoport and Yang, who proved that if one assembles these divisors in a formal generating series, one obtains the$q$-expansion of a modular form of weight 3/2. The present work concerns the Shimura lift of this modular form: we identify the Shimura lift with a generating series comprising divisors arising in the recent work of Kudla and Rapoport regarding cycles
doi:10.1112/s0010437x14007507
fatcat:sp3733fk25g5vknvcs2afhh6l4