publication . Thesis . 2015

Uniformization of elliptic curves

Ülkem, Özge; Ulkem, Ozge;
Open Access
  • Published: 01 Sep 2015
  • Country: Turkey
Abstract
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.
Subjects
arXiv: Mathematics::Number Theory
free text keywords: QA Mathematics
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