Trabajo Fin de Máster
Aspectos computacionales del Polinomio de Bernstein-Sato de una singularidad
Autor/es | Rendón Rodríguez de Molina, Adolfo |
Director | Narváez Macarro, Luis |
Departamento | Universidad de Sevilla. Departamento de Álgebra |
Fecha de publicación | 2021-06-02 |
Fecha de depósito | 2022-06-21 |
Titulación | Universidad de Sevilla. Grado en Matemáticas |
Resumen | The Bernstein-Sato polynomial or the b-function is an important invariant in singularity theory. It is closely related to diferentials operators. This polynomial has
very useful properties and applications in diferents ... The Bernstein-Sato polynomial or the b-function is an important invariant in singularity theory. It is closely related to diferentials operators. This polynomial has very useful properties and applications in diferents fields of mathematics. It was introduced in the early 1970s simultaneously, but under diferent scopes, by Joseph Bernstein and Mikio Sato. The purpose of this Master Thesis Dissertation is an update and an overview of the main tools and results on which the algorithmic study of b-function is based. In addition, we study some of the most efficient algorithms for computing b-functions to date, implemented in algebraic systems such as Singular/Plural or Risa/Asir. |
Cita | Rendón Rodríguez de Molina, A. (2021). Aspectos computacionales del Polinomio de Bernstein-Sato de una singularidad. (Trabajo Fin de Máster Inédito). Universidad de Sevilla, Sevilla. |
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