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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Obus, Andrew and Wewers, Stefan 2014. Cyclic extensions and the local lifting problem. Annals of Mathematics, Vol. 180, Issue. 1, p. 233.


    Pop, Florian 2014. The Oort Conjecture on lifting covers of curves. Annals of Mathematics, Vol. 180, Issue. 1, p. 285.


    Green, Barry 2013. Bounds on the number of automorphisms of curves over algebraically closed fields. Israel Journal of Mathematics, Vol. 194, Issue. 1, p. 69.


    Brewis, Louis Hugo and Wewers, Stefan 2009. Artin characters, Hurwitz trees and the lifting problem. Mathematische Annalen, Vol. 345, Issue. 3, p. 711.


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Oort groups and lifting problems

  • T. Chinburg (a1), R. Guralnick (a2) and D. Harbater (a3)
  • DOI: http://dx.doi.org/10.1112/S0010437X08003515
  • Published online: 01 July 2008
Abstract
Abstract

Let k be an algebraically closed field of positive characteristic p. We consider which finite groups G have the property that every faithful action of G on a connected smooth projective curve over k lifts to characteristic zero. Oort conjectured that cyclic groups have this property. We show that if a cyclic-by-p group G has this property, then G must be either cyclic or dihedral, with the exception of A4 in characteristic two. This proves one direction of a strong form of the Oort conjecture.

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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
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