Supersingular elliptic curves over ℤ<sub>𝑝</sub>-extensions-Reference-Cited by-同舟云学术

Supersingular elliptic curves over ℤ_𝑝-extensions

Published:2023-06-15 Issue:0 Volume:0 Page:
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Çiperiani Mirela¹

Affiliation:

1. Department of Mathematics , The University of Texas at Austin , Austin , TX 78712 , USA

Abstract

Abstract Let E / Q

\mathrm{E}/\mathbb{Q}

be an elliptic curve and 𝑝 a prime of supersingular reduction for E

\mathrm{E}

. Consider a quadratic extension L / Q p

L/\mathbb{Q}_{p}

and the corresponding anticyclotomic Z p

\mathbb{Z}_{p}

-extension L ∞ / L

L_{\infty}/L

. We analyze the structure of the points E ⁢ ( L ∞ )

\mathrm{E}(L_{\infty})

and describe two global implications of our results.

Funder

National Security Agency

National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2023-0029/pdf

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