| dc.contributor.advisor | Šťovíček, Jan | |
| dc.creator | Zvěřina, Adam | |
| dc.date.accessioned | 2020-10-13T10:04:25Z | |
| dc.date.available | 2020-10-13T10:04:25Z | |
| dc.date.issued | 2020 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11956/121625 | |
| dc.description.abstract | 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 | cs_CZ |
| dc.description.abstract | 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 | en_US |
| dc.language | Čeština | cs_CZ |
| dc.language.iso | cs_CZ | |
| dc.publisher | Univerzita Karlova, Matematicko-fyzikální fakulta | cs_CZ |
| dc.subject | eliptická křivka | cs_CZ |
| dc.subject | Riemannova plocha | cs_CZ |
| dc.subject | komplexní torus | cs_CZ |
| dc.subject | Weierstrassova ℘-funkce | cs_CZ |
| dc.subject | elliptic curve | en_US |
| dc.subject | Riemann surface | en_US |
| dc.subject | complex torus | en_US |
| dc.subject | Weierstrass ℘-function | en_US |
| dc.title | Komplexní algebraické křivky | cs_CZ |
| dc.type | bakalářská práce | cs_CZ |
| dcterms.created | 2020 | |
| dcterms.dateAccepted | 2020-09-22 | |
| dc.description.department | Department of Algebra | en_US |
| dc.description.department | Katedra algebry | cs_CZ |
| dc.description.faculty | Matematicko-fyzikální fakulta | cs_CZ |
| dc.description.faculty | Faculty of Mathematics and Physics | en_US |
| dc.identifier.repId | 226047 | |
| dc.title.translated | Complex algebraic curves | en_US |
| dc.contributor.referee | Kazda, Alexandr | |
| thesis.degree.name | Bc. | |
| thesis.degree.level | bakalářské | cs_CZ |
| thesis.degree.discipline | Obecná matematika | cs_CZ |
| thesis.degree.discipline | General Mathematics | en_US |
| thesis.degree.program | Mathematics | en_US |
| thesis.degree.program | Matematika | cs_CZ |
| uk.thesis.type | bakalářská práce | cs_CZ |
| uk.taxonomy.organization-cs | Matematicko-fyzikální fakulta::Katedra algebry | cs_CZ |
| uk.taxonomy.organization-en | Faculty of Mathematics and Physics::Department of Algebra | en_US |
| uk.faculty-name.cs | Matematicko-fyzikální fakulta | cs_CZ |
| uk.faculty-name.en | Faculty of Mathematics and Physics | en_US |
| uk.faculty-abbr.cs | MFF | cs_CZ |
| uk.degree-discipline.cs | Obecná matematika | cs_CZ |
| uk.degree-discipline.en | General Mathematics | en_US |
| uk.degree-program.cs | Matematika | cs_CZ |
| uk.degree-program.en | Mathematics | en_US |
| thesis.grade.cs | Velmi dobře | cs_CZ |
| thesis.grade.en | Very good | en_US |
| uk.abstract.cs | 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 | cs_CZ |
| uk.abstract.en | 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 | en_US |
| uk.file-availability | V | |
| uk.grantor | Univerzita Karlova, Matematicko-fyzikální fakulta, Katedra algebry | cs_CZ |
| thesis.grade.code | 2 | |
| uk.publication-place | Praha | cs_CZ |