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Information Journal Paper

Title

DEFORMATION OF OUTER REPRESENTATIONS OF GALOIS GROUP II

Pages

  33-41

Abstract

 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.

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    APA: Copy

    RASTEGAR, ARASH. (2011). DEFORMATION OF OUTER REPRESENTATIONS OF GALOIS GROUP II. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 6(2), 33-41. SID. https://sid.ir/paper/310321/en

    Vancouver: Copy

    RASTEGAR ARASH. DEFORMATION OF OUTER REPRESENTATIONS OF GALOIS GROUP II. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2011;6(2):33-41. Available from: https://sid.ir/paper/310321/en

    IEEE: Copy

    ARASH RASTEGAR, “DEFORMATION OF OUTER REPRESENTATIONS OF GALOIS GROUP II,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 6, no. 2, pp. 33–41, 2011, [Online]. Available: https://sid.ir/paper/310321/en

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