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math.NT2013
Canonical Cohen rings for norm fields
Bryden Cais, Christopher Davis
Fix a finite extension and let be an infinite, strictly APF extension in the sense of Fontaine--Wintenberger. Let denote its associated norm field.…
math.NT2013
On the U_p-operator in characteristic p
Bryden Cais
For a perfect field κof characteristic p>0, a positive ingeger N not divisible by p, and an arbitrary subgroup Γof GL_2(Z/NZ), we prove (with mild additional hypotheses when p\le 3…