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

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## 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.

Item Type: | Thesis |
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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 |