Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/148638
Title: | Resoluciones minimales de curvas monomiales |
Author: | Borja Gutiérrez, Cristian |
Director/Tutor: | Zarzuela, Santiago |
Keywords: | Corbes el·líptiques Treballs de fi de grau Varietats abelianes Funcions zeta Programari Elliptic curves Bachelor's theses Abelian varieties Zeta functions Computer software |
Issue Date: | 20-Jun-2019 |
Abstract: | [en] We study the graded free resolutions in the polynomial ring giving results of existence, uniqueness and finitude. We study the correspondence between the monomial curves and the associated numerical semigroup that will allow us, using several results about resolutions, to fnd explicitly the structure of the free resolution of any monomial curve in the 3 dimensional affine space. To arrive at these results, we do a basic study of the categories of graded rings and semigroups. In addition, a way to calculate effectively the parameters necessary to find these resolutions is given by means of basic results on Diophantine equations. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Santiago Zarzuela |
URI: | http://hdl.handle.net/2445/148638 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | Memòria | 1.55 MB | Adobe PDF | View/Open |
MinimalPresentations3S.m | Minimal Presentations 3S | 7.17 kB | Unknown | View/Open |
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