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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Deformation data, Belyi maps, and the local lifting problem


Authors: Irene I. Bouw, Stefan Wewers and Leonardo Zapponi
Journal: Trans. Amer. Math. Soc. 361 (2009), 6645-6659
MSC (2000): Primary 11G20; Secondary 14D15
Published electronically: July 24, 2009
MathSciNet review: 2538609
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Abstract: We prove existence and nonexistence results for certain differential forms in positive characteristic, called good deformation data. Some of these results are obtained by reduction modulo $ p$ of Belyi maps. As an application, we solve the local lifting problem for groups with Sylow $ p$-subgroup of order $ p$.


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Additional Information

Irene I. Bouw
Affiliation: Institut fuer Reine Mathematik, University of Ulm, Helmholtzstr 18, D-89069 Ulm, Germany
Email: irene.bouw@uni-ulm.de

Stefan Wewers
Affiliation: Institut fuer Algebra, Zahlentheorie und Diskrete Mathematik, University of Hannover, Welfengarten 1, D-30167, Hannover, Germany
Email: wewers@math.uni-hannover.de

Leonardo Zapponi
Affiliation: Équipe de théorie des nombres, Université Pierre et Marie Curie (Paris 6), 175, rue du Chevaleret, 75013 Paris, France
Email: zapponi@math.jussieu.fr

DOI: http://dx.doi.org/10.1090/S0002-9947-09-04773-4
PII: S 0002-9947(09)04773-4
Received by editor(s): January 29, 2008
Received by editor(s) in revised form: February 27, 2008
Published electronically: July 24, 2009
Article copyright: © Copyright 2009 American Mathematical Society