The Image of the Coefficient Space In the Universal Deformation Space of a Flat Galois Representation of a P-Adic Field

Determining the image of the coefficient space in the universal deformation space

Authors

  • Anuj Kumar Singh Jodhpur National University Author
  • Dr. K. K. Jain Author
  • Dr. Yogesh Sharma Author

Keywords:

coefficient space, universal deformation space, flat Galois representation, P-adic field, resolution of singularities

Abstract

The coefficient space is a kind of resolution of singularities of theuniversal flat deformation space for a given Galois representation of some local field. It parametrizes(in some sense) the finite flat models for theGalois representation. The aim of this note is to determine the image of the coefficient space in the universal deformation space.

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Published

2011-02-01