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Deformation of outer representations of galois group II

Rastegar, A ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.7508/ijmsi.2011.02.004
  3. Publisher: 2011
  4. Abstract:
  5. This paper is devoted to deformation theory of "anabelian" representations of the absolute Galois group landing in outer automorphism group of the algebraic fundamental group of a hyperbolic smooth curve defined over a number-field. In the first part of this paper, we obtained several universal deformations for Lie-algebra versions of the above representation using the Schlessinger criteria for functors on Artin local rings. In the second part, we use a version of Schlessinger criteria for functors on the Artinian category of nilpotent Lie algebras which is formulated by Pridham, and explore arithmetic applications
  6. Keywords:
  7. Artin local rings ; Deformation theory ; Schlessinger criteria
  8. Source: Iranian Journal of Mathematical Sciences and Informatics ; Volume 6, Issue 2 , 2011 , Pages 33-41 ; 17354463 (ISSN)
  9. URL: http://www.ijmsi.ir/browse.php?a_code=A-10-1-97&slc_lang=en&sid=1&sw=algebra