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Deformation data, Belyi maps, and the local lifting problem
Author(s):
Irene
I.
Bouw;
Stefan
Wewers;
Leonardo
Zapponi
Journal:
Trans. Amer. Math. Soc.
361
(2009),
6645-6659.
MSC (2000):
Primary 11G20;
Secondary 14D15
Posted:
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  of Belyi maps. As an application, we solve the local lifting problem for groups with Sylow  -subgroup of order  .
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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:
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
Posted:
July 24, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
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