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

Abstract

The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.

Shintani lifts of nearly holomorphic modular forms

“…The key ingredient to the calculation of the Fourier expansion in [ANS, BF2, BFI, BFIL] is the construction of a rapidly decaying antiderivatives of the Schwartz function used to construct the theta kernel. Such singular Schwartz functions are important also in evaluating singular theta lifts and constructing Green currents for special divisors on orthogonal and unitary Shimura varieties (see, e.g., [FH]).…”