Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

memoria.pdf (464.76 KB)

Document type

Master thesis

Publication date

2017-06-21

Publication license

cc-by-nc-nd (c) Andrés Rojas González, 2017
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/121057

On a theorem of Waring for plane alebraic curves

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

Abstract

[en] This project consists in a revision and extension of a classic result, Waring’s theorem, about the barycenter of the intersection points of two plane algebraic curves. The theorem arises from the study of the parts with highest degree of the equation of a curve, which are completely determined by the barycentric parallel lines of the groups of asymptotes. Among other consequences of Waring’s theorem we study a result, due to Chasles, about the barycenter of the contact points of parallel tangent lines to a plane curve.

Description

Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2017, Director: Eduardo Casas Alvero

Subject

Corbes algebraiques, Corbes planes, Treballs de fi de màster, Geometria projectiva, Cossos algebraics

Subject (English)

Algebraic curves, Plane curves, Master's theses, Projective geometry, Algebraic fields

Citation

Collections

Màster Oficial - Matemàtica Avançada

Citation

ROJAS GONZÁLEZ, Andrés. On a theorem of Waring for plane alebraic curves. [consulted: 17 of August of 2026]. Available at: https://hdl.handle.net/2445/121057

Export metadata

JSON - METS

Share record