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Deformation of outer representations of Galois group

Rastegar, A ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.7508/ijmsi.2011.01.004
  3. Publisher: 2011
  4. Abstract:
  5. To a hyperbolic smooth curve defined over a number-field one naturally associates "ananabelian" representation of the absolute Galois group of the base field landing in outer automorphism group of the algebraic fundamental group. In this paper, we introduce several deformation problems for Lie-algebra versions of the above representation and show that, this way we get a richer structure than those coming from deformations of "abelian" Galois representations induced by the Tate module of associated Jacobian variety. We develop an arithmetic deformation theory of graded Lie algebras with finite dimensional graded components to serve our purpose
  6. Keywords:
  7. Deformation theory ; Galois representation ; Tate module
  8. Source: Iranian Journal of Mathematical Sciences and Informatics ; Volume 6, Issue 1 , 2011 , Pages 35-52 ; 17354463 (ISSN)
  9. URL: http://www.ijmsi.ir/browse.php?a_id=192&sid=1&slc_lang=en