Now showing items 1-5 of 5

• #### Effective computation of base points of two-dimensional ideals ﻿

(Universitat Politècnica de Catalunya, 2015-10)
Master thesis
Open Access
This 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 ...
• #### Extremal mixed graphs in the context of the Degree/Diameter problem ﻿

(Universitat Politècnica de Catalunya, 2016-10)
Master thesis
Restricted access - confidentiality agreement
Covenantee:  Universitat de Lleida. Grup de recerca Criptografia i Grafs
• #### Multiplier ideals in two-dimensional local rings with rational singularities ﻿

(Universitat Politècnica de Catalunya, 2016-06-13)
Doctoral thesis
Open Access
Covenantee:  Katholieke Universiteit te Leuven
The aim of this memoir is to study multiplier ideals in two-dimensional local rings having at worst rational singularities. We also want to extend this study to the case of mixed multiplier ideals. The main achievements ...
• #### Multiplier ideals of plane curves ﻿

(Universitat Politècnica de Catalunya, 2012-10)
Master thesis
Restricted access - author's decision
Multiplier ideals and their corresponding jumping numbers have been revealed as a fundamental tool to measure the singularity of plane curves. There are approaches to these objects from both Commutative Algebra and Algebraic ...
• #### Scheme of pairs of matrices with vanishing commutator ﻿

(Universitat Politècnica de Catalunya, 2019-05-27)
Bachelor thesis
Open Access
Covenantee:  Katholieke Universiteit te Leuven
Let $X$ be smooth projective curve of genus $g$. Let $R(g,n)$ be $Hom(\pi_1(X),GL_n(C)$ with the natural affine scheme structure. If $g>1$, it is known that the representation space $R(g,n)$ is an irreducible reduced normal ...