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http://hdl.handle.net/2445/125805
Title: | El problema del nombre de classes 1 |
Author: | Garcia Tarrach, Guillem |
Director/Tutor: | Travesa i Grau, Artur |
Keywords: | Teoria algebraica de nombres Treballs de fi de grau Anells (Àlgebra) Teoria de cossos de classe Corbes el·líptiques Formes quadràtiques Algebraic number theory Bachelor's theses Rings (Algebra) Class field theory Elliptic curves Quadratic forms |
Issue Date: | 27-Jun-2018 |
Abstract: | [en] The ring of integers is a unique factorization domain, but, in general, this isn’t the case for the ring of integers of a number field. The class number 1 problem consists in giving a complete list of all imaginary quadratic fields whose ring of integers is a unique factorization domain. In this thesis we provide an adaptation of Kurt Heegner’s original solution including an overview of the required theoretical tools, namely class field theory and the theory of elliptic curves with complex multiplication. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Artur Travesa i Grau |
URI: | http://hdl.handle.net/2445/125805 |
Appears in Collections: | Programari - Treballs de l'alumnat Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | Memòria | 472.86 kB | Adobe PDF | View/Open |
Codi font.zip | Codi font | 1.2 kB | zip | View/Open |
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