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Title: Un acostament a les quàrtiques projectives planes
Author: Morata Martínez, Imanol
Director/Tutor: Naranjo del Val, Juan Carlos
Keywords: Corbes algebraiques
Geometria projectiva
Treballs de fi de grau
Algebraic curves
Projective geometry
Bachelor's theses
Issue Date: 26-Jan-2012
Abstract: This work, which consists in two separate parts, will attempt to build an equation for a non-singular plane projective quartic over an algebraically closed eld, namely C. In the course of this trail, algebric and geometric theory will be introduced and discussed here, taking special care in subjects such as Bézout's theorem, the divisor language, Riemann-Roch's theorem and some matters about symplectic algebra. This path will lead us to Steiner-Hesse's theorem which provides a way to write an equation for a non-singular quartic. Finally, we will use those methods in order to attempt the development of an equation for the Klein quartic. An appendix lies at the end of the work talking about a pair of questions which can be investigated parting from the subjects in the main text, and a brief historical background for the things shown on it.
Note: Treballs Finals de Grau de Matemàtiques de la Facultat de Matemàtiques de la Universitat de Barcelona, Any: 2012 , Director: Juan Carlos Naranjo del Val
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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