## Uniformization of elliptic curves
Ülkem, Özge (2015)
Official URL: http://risc01.sabanciuniv.edu/record=b1615010 (Table of Contents) ## AbstractEvery 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.
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