Estimation des dimensions de certaines variétés de Kisin

Mathematics – Number Theory

Scientific paper

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Scientific paper

In this paper, we study dimensions of some varieties, that were introduced
recently by Kisin in order to prove modularity of some Galois representations.
In fact, we mainly consider a special case for which we obtain an estimation of
the dimension we are interested in. Then, based on this result, we state a
conjecture for the general case.

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