Power Filtration on Morphisms of Formal Group Law

Аннотация

The height filtration on the stack of formal groups \(\mathcal{M}\)_FG is well known. We explore analogous filtration on a set of morphisms of formal group laws, which extends to the stack \(\mathcal{M}\)_FG. It is correctly defined colimit object for this filtration which can be identified with the colimit \(\mathcal{M}\)_FG,∞. As a corollary we prove explicitly density of additive formal group in any group law.