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Perfectoid Tate Curve

Published 13 Jul 2018 in math.NT | (1807.05875v2)

Abstract: Perfectoid versions of Abel Jacobi and Reimann Roch Theorem are proved, and perfectoid Elliptic Curve is constructed. A Perfectoid Tate Curve is defined and its cohomology computed via a \v{C}ech complex. Furthermore, perfectoid Theta function and Weierstra{\ss} series are also defined and suitably interpreted.

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