2:35 PM
3:22 PM
Is there a definition of a level structure on a formal group that does not involve asking for divisibility of power series (as in, arxiv.org/abs/1010.4241), which I find slightly opaque? Where can I find it?
(Or at least a discussion of this condition that would help me understand it? For example, I find the definition in the elliptic case given in Lurie's paper on level structures on elliptic curves slightly easier to digest.)
As a second question, as I understand it, if I attach to $\mathbb{Q}_{p}$ the $p$-th roots of the Lubin-Tate formal group (which is height $1$ over the special fibre), I will obtain the ramified part of the maximal abelian extension of $\mathbb{Q}_{p}$, whose Galois group I can write down explicitly. What would happen if instead I attached $p$-roots of a formal group which is of height $h > 1$ over the special fibre?
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