Fernández Sánchez, Jesús (Date of defense: 2004-11-01)
The original interest in sandwiched singularities comes from a natural question posed by J. Nash in the early sixties to H. Hironaka: “Does a finite succession of Nash transformations or normalized Nash ...
Arias de Reyna Domínguez, Sara (Date of defense: 2009-06-04)
The background of this dissertation is the inverse Galois problem.<br/>Which finite groups can occur as Galois groups of an extension of the rational field? This problem was first considered by D. ...
Heiderich, Florian (Date of defense: 2010-09-13)
This thesis is about Galois theory.<br/><br/>The development of a Galois theory for differential equations analogous to the classical Galois theory for polynomial equations was already an aim of S. Lie ...
Àlvarez Montaner, Josep (Date of defense: 2002-05-27)
Sigui R l'anell de polinomis amb coeficients en un cos k de característica zero. El nostre objectiu és, tot seguint la linia de recerca encetada per G. Lyubeznik, utilitzar en profunditat la teoria de ...
Colomé Nin, Gemma (Date of defense: 2008-07-14)
A first goal of this thesis is to contribute to the knowledge of cohomological properties of non-standard multigraded modules. In particular we study the Hilbert function of a non-standard multigraded ...
Barja Yáñez, Miguel Ángel (Date of defense: 1998-12-21)
In this tesis we study numerical propieties of surfaces and threefolds, mainly fibred over curves, the so called "slope" of the fibration. We prove partially a conjecture of Fujita on the semiampleness ...
Macías Marques, Pedro (Date of defense: 2009-11-30)
To determine whether a syzygy bundle on PN is stable, or semistable, is a long-standing problem in algebraic geometry. It is closely related to the problem of finding the Hilbert function and the minimal ...
Costa Farràs, Laura (Date of defense: 1998-09-01)
This thesis seeks to contribute to a deeper understanding of the moduli spaces <i>M-sub X, H (r; c1,., Cmin{r;n}</i>) of rank <i>r</I>, <i>H</i>-stable vector bundles E on an <i>n</i>-dimensional variety ...
Lavila Vidal, Olga (Date of defense: 1999-01-01)
The aim of this work is to study the ring-theoretic properties of the diagonals of a Rees algebra, which from a geometric point of view are the homogenous coordinate rings of embeddings of blow-ups of ...
Feliu Trijueque, Elisenda (Date of defense: 2007-11-29)
The results of this thesis contribute to the program of developing a higher arithmetic intersection theory. These results constitute chapters 3 and 5. Chapters 2 and 4 consist of the preliminary results ...