Good reduction of affinoids in the Lubin–Tate curve in even equal characteristic, I
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DOI: 10.1016/j.jnt.2020.03.004
Abstract: Abstract We define affinoids in the Lubin–Tate curve in even equal characteristic, and compute the reductions of them. Each reduction is isomorphic to a smooth affine curve with Artin–Schreier type equation. We expect that the… read more here.
Keywords: curve even; equal characteristic; tate curve; even equal ... See more keywords
Completions of Countable Excellent Local Rings in Equal Characteristic Zero
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DOI: 10.1142/s0219498824501913
Abstract: We characterize which complete local (Noetherian) rings T containing the rationals are the completion of a countable excellent local ring S. We also discuss the possibilities for the map from the minimal prime ideals of… read more here.
Keywords: rings equal; equal characteristic; completions countable; local rings ... See more keywords
An elementary proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case
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DOI: 10.2748/tmj/1537495352
Abstract: The aim of this article is to give a new proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case. read more here.
Keywords: gabber theorem; characteristic case; equal characteristic; proof cohen ... See more keywords