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math.NT2019
Perfectoid spaces arising from arithmetic jet spaces
Alexandru Buium, Lance Edward Miller
Using arithmetic jet spaces, we attach perfectoid spaces to smooth schemes and to -morphisms of smooth schemes. We also study perfectoid spaces attached to arithmetic differenti…
math.NT2019
Solutions to arithmetic differential equations in algebraically closed fields
Alexandru Buium, Lance Edward Miller
We prove that the main examples in the theory of algebraic differential equations possess a remarkable total differential overconvergence property. This allows one to consider solu…