English   español  
Por favor, use este identificador para citar o enlazar a este item: http://hdl.handle.net/10261/155302
Compartir / Impacto:
Estadísticas
Add this article to your Mendeley library MendeleyBASE
Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Título

Effective computation of base points of two-dimensional ideals

AutorBlanco Fernández, Guillem
DirectorAlberich-Carramiñana, Maria ; Àlvarez Montaner, Josep
Palabras claveEquisingularity
Base points
Two-dimensional ideal
Puiseux series
Fecha de publicación2015
EditorUniversidad Politécnica de Cataluña
ResumenThis works focus on computational aspects of the theory of singularities of plane algebraic curves. We show how to use the Puiseux factorization of a curve, computed through the Newton-Puiseux algorithm, to study the equisingularity type of a curve. We present a novel version of the Newton-Puiseux algorithm that can compute all the Puiseux factorization of any arbitrary polynomial, removing the restriction of reduced inputs. Next, we introduce the theory of infinitely near points and the concept of base points of an ideal. Finally, we develop a novel algorithm that, using our novel version of the Newton-Puiseux algorithm, computes the weighted cluster of base points of any two dimensional ideal from any set of generators.
DescripciónUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística. Departament de Matemàtica Aplicada I. Treball Final de Màster: Master of Science in Advanced Mathematics and Mathematical Engineering.
URIhttp://hdl.handle.net/10261/155302
Aparece en las colecciones: (IRII) Tesis
Ficheros en este ítem:
Fichero Descripción Tamaño Formato  
twodimensionaideal.pdf717,52 kBAdobe PDFVista previa
Visualizar/Abrir
Mostrar el registro completo
 


NOTA: Los ítems de Digital.CSIC están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.