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We consider the moduli space, in the sense of Kisin, of finite flat models ofa 2-dimensional representation with values in a finite field of the absoluteGalois group of a totally ramified extension of $mathbb{Q}_p$. We determine theconnected components of this space and describe its irreducible components.These results prove a modified version of a conjecture of Kisin.

On the structure of some moduli spaces of finite flat group schemes