Deformation data, Belyi maps, and the local lifting problem
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- by Irene I. Bouw, Stefan Wewers and Leonardo Zapponi PDF
- Trans. Amer. Math. Soc. 361 (2009), 6645-6659 Request permission
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 $p$.References
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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
- MR Author ID: 652833
- 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
- Received by editor(s): January 29, 2008
- Received by editor(s) in revised form: February 27, 2008
- Published electronically: July 24, 2009
- © Copyright 2009 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 361 (2009), 6645-6659
- MSC (2000): Primary 11G20; Secondary 14D15
- DOI: https://doi.org/10.1090/S0002-9947-09-04773-4
- MathSciNet review: 2538609