Uniformization of elliptic curves

Ülkem, Özge (2015) Uniformization of elliptic curves. [Thesis]

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Every elliptic curve E defined over C is analytically isomorphic to C*=qZ for some q ∊ C*. Similarly, Tate has shown that if E is defined over a p-adic field K, then E is analytically isomorphic to K*=qZ for some q ∊ K . Further the isomorphism E(K) ≅ K*/qZ respects the action of the Galois group GK/K, where K is the algebraic closure of K. I will explain the construction of this isomorphism.
Item Type: Thesis
Uncontrolled Keywords: Elliptic curve. -- Uniformization. -- Lattice. -- Tate curve. -- Eliptik egri. -- Izgara. -- Üniformizasyon. -- Tate eğrisi.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 07 Nov 2017 11:06
Last Modified: 26 Apr 2022 10:13
URI: https://research.sabanciuniv.edu/id/eprint/34101

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