Perfectoid spaces arising from arithmetic jet spaces

Alexandru Buium; Lance Edward Miller

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arXiv · 1911.00113

Perfectoid spaces arising from arithmetic jet spaces

Alexandru Buium·Lance Edward Miller

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Abstract

Using arithmetic jet spaces, we attach perfectoid spaces to smooth schemes and to $δ$-morphisms of smooth schemes. We also study perfectoid spaces attached to arithmetic differential equations defined by some of the remarkable $δ$-morphisms appearing in the theory such as the $δ$-characters of elliptic curves and the $δ$-period map on modular curves.

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Alexandru Buium, Lance Edward Miller. 2019-10-31. Perfectoid spaces arising from arithmetic jet spaces. https://arxiv.org/abs/1911.00113

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