Uniformization of elliptic curves

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

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Official URL: http://risc01.sabanciuniv.edu/record=b1615010 (Table of Contents)


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
ID Code:34101
Deposited By:IC-Cataloging
Deposited On:07 Nov 2017 11:06
Last Modified:25 Mar 2019 17:20

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