Traducción del primer párrafo.

TFG_Sixto_José_Martínez_Gan.tex

@@ -51,8 +51,8 @@
 
 % Bibliografía.
 \newif\ifbibtex
-\bibtextrue
-%\bibtexfalse
+%\bibtextrue
+\bibtexfalse
 \ifbibtex
 \else
 \usepackage[backend=biber]{biblatex}
@@ -276,7 +276,8 @@ urlcolor=black]{hyperref}
 \selectlanguage{english}
 \chapter{Abstract}
 
-	This work is framed within the context of Terao’s Conjecture~\cite{Terao} for hyperplane arrangements. In this conjecture, Terao asserts that the freeness of a hyperplane arrangement depends only on its intersection pattern, i.e. that the dependency is purely combinatorial. To reach this conclusion, it is necessary to construct free divisors. In our case, in a less general space, these divisors materialize as the module of polynomial derivations tangent to a function. Thus, part of the path toward Terao’s Conjecture involves understanding these divisors and, in particular, determining when they are free. Given the vastness of this topic and that the dimensions of this work are not enough to make all of it fit, we will only focus on said two objectives. The first problem will be solved in the second section with the introduction of syzygies and the second problem in the third section using Saito’s Criterion.
+	This work is framed within the context of Terao’s Conjecture \cite{Terao} for hyperplane arrangements. In this conjecture, Terao asserts that the freeness of a hyperplane arrangement depends solely on the pattern of intersections, i.e. the dependency is purely combinatorial. Divisor configurations form a particular case of divisors in which the problem of freeness is posed too; in a more algebraic manner, we can study divisors from polynomials. A divisor associated with a polynomial is free if the module of polynomial derivations tangent to the divisor is too.
+	Thus, part of the path towards Terao’s Conjecture goes through understanding these divisors and, in particular, knowing when they are free. Given the vastness of this topic and that a work of this dimensions would not fit it, we will focus exclusively on said objectives. The first will be addressed in the second part with the introduction of syzygies and the second in the third part using Saito’s Criterion.
 	
 	The structure of our document is divided into three. In the first part, we will familiarize ourselves with the type of object we are working with: the module. We will explore its basic properties, its relationships with similar spaces such as the vector space, and develop with moderate deepness some specific aspects more closely related to the context in which we find ourselves.