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Differential modular forms on Shimura curves, II: Serre operators

Published online by Cambridge University Press:  04 December 2007

Alexandru Buium
Alexandru Buium
Affiliation:
Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131, USAbuium@math.unm.edu
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Abstract

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One of the main results announced in Part I (Compositio Math. 139 (2003), 197–237) is proved. The main technique consists in developing a coordinate free version of some of the theory of Serre operators on differential modular forms introduced by Barcau.

Keywords

Shimura curvesdifferential modular forms11G1814G35
Type
Research Article
Information
Compositio Mathematica , Volume 140 , Issue 5 , September 2004 , pp. 1113 - 1134
Copyright
Foundation Compositio Mathematica 2004