19 citations · 80 across the 16 of their papers we have counts for
4 papers · 1 filter
Primitive elements in -divisible groups
Robert Kottwitz, Preston Wake
We introduce the notion of primitive elements in arbitrary truncated -divisible groups. By design, the scheme of primitive elements is finite and locally free over the base. Pri…
Ordinary pseudorepresentations and modular forms
Preston Wake, Carl Wang-Erickson
In this short note, we observe that the techniques of our recent work "Pseudo-modularity and Iwasawa theory" can be used to provide a new proof of some of the residually reducible…
Full level structures revisited: pairs of roots of unity
Preston Wake
We introduce a notion of full level structure for the group scheme , and show that scheme of full level structures is flat over .
Pseudo-modularity and Iwasawa theory
Preston Wake, Carl Wang-Erickson
We prove, assuming Greenberg's conjecture, that the ordinary eigencurve is Gorenstein at an intersection point between the Eisenstein family and the cuspidal locus. As a corollary,…