The construction of Green currents and singular theta lifts for unitary groups

27 Aug 2020 Funke Jens Hofmann Eric

With applications in the Kudla program in mind we employ singular theta lifts for the reductive dual pair $U(p,q)\times U(1,1)$ to construct two different kinds of Green forms for codimension $q$-cycles in Shimura varieties associated to unitary groups. We establish an adjointness result between our singular theta lift and the Kudla-Millson lift... (read more)

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