# The image of the coefficient space in the universal deformation space

Eugen Hellmann

Number | 12 |
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Author | Eugen Hellmann |

Project | B07 |

Year | 2009 |

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