Original title: Komplexní algebraické křivky
Translated title: Complex algebraic curves
Authors: Zvěřina, Adam ; Šťovíček, Jan (advisor) ; Kazda, Alexandr (referee)
Document type: Bachelor's theses
Year: 2020
Language: cze
Abstract: [cze] [eng]
Práce popisuje vztah mezi algebraickými křivkami a Riemannovými plochami. Za- vedeme Weierstrassovu ℘-funkci a dokážeme některé její vlastnosti. Dále nahlédneme, že každou komplexní algebraickou křivku lze chápat jako Riemannovu plochu. Nakonec ukážeme, že eliptickou křivku lze parametrizovat pomocí Weierstrassovy ℘-funkce. 1 The thesis describes the relationship between algebraic curves and Riemann surfaces. We define Weierstrass ℘-function and prove some of its properties. We further prove that every complex algebraic curve can be regarded as a Riemann surface. Finally, we demonstrate that an elliptic curve can be parametrised with Weierstrass ℘-function. 1
Keywords: complex torus; elliptic curve; Riemann surface; Weierstrass ℘-function; eliptická křivka; komplexní torus; Riemannova plocha; Weierstrassova ℘-funkce

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/121625

Permalink: http://www.nusl.cz/ntk/nusl-435534


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Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Bachelor's theses