International Mathematics Research Notices Advance Access originally published online on December 30, 2008
International Mathematics Research Notices (2009) 2009:193-220, doi:10.1093/imrn/rnn129 published on January 23, 2009
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The Overconvergent Shimura Lifting
Department of Mathematics, University of Michigan, 2074 East Hall, 530 Church Street, Ann Arbor, MI 48109-1043, USA
Correspondence: Correspondence to be sent to: naramsey{at}umich.edu
We construct a rigid analytic map from the half-integral weight cuspidal eigencurve to its integral weight counterpart that interpolates the classical Shimura lifting.