L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld : Decomposition cellulaire de la tour de Lubin-Tate

Details L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld : Decomposition cellulaire de la tour de Lubin-Tate L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld : Decomposition cellulaire de la tour de Lubin-Tate

2006-03-27

arxiv.org/abs/math/0603618v1

Mathematics

Number Theory

46 pages

Scientific paper

This article is the first one of a series aiming to construct an isomorphism
between the p-adic Lubin-Tate and Drinfeld towers, describe this isomorphism
and give applications. We construct a p-adic equivariant integral model of the
Lubin-Tate tower with infinite level. This formal scheme will be later compared
to another one associated to the Drinfeld tower.

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