English

Perfectoid Tate Curve

Number Theory 2018-11-26 v2

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.

Keywords

Cite

@article{arxiv.1807.05875,
  title  = {Perfectoid Tate Curve},
  author = {Harpreet Bedi},
  journal= {arXiv preprint arXiv:1807.05875},
  year   = {2018}
}

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R2 v1 2026-06-23T03:02:43.347Z