Now showing items 20-39 of 50

    Haces reflexivos sobre espacios proyectivos 

    Miró-Roig, Rosa M. (Rosa Maria) (Date of defense: 1985-01-01)

    Esta memoria pretende contribuir al estudio de haces reflexivos sobre espacios proyectivos en los dos aspectos siguientes: (A) Caracterización de las clases de Chern de haces reflexivos sobre espacios proyectivos. (B) ...

    Homology Stability for Spaces of Surfaces 

    Cantero Morán, Federico (Date of defense: 2013-07-03)

    In this thesis we study the space of compact connected oriented genus g subsurfaces of a fixed manifold M, and in particular its homological properties. We construct a “scanning map” which compares this space to the space ...

    Homotopical Aspects of Mixed Hodge Theory 

    Cirici, Joana (Date of defense: 2012-06-23)

    In the present work, we analyse the categories of mixed Hodge complexes and mixed Hodge diagrams of differential graded algebras in these two directions: we prove the existence of both a Cartan-Eilenberg structure, via the ...

    Images of Galois representations and p-adic models of Shimura curves 

    Amorós Carafí, Laia (Date of defense: 2016-12-16)

    The Langlands program is a vast and unifying network of conjectures that connect the world of automorphic representations of reductive algebraic groups and the world of Galois representations. These conjectures associate ...

    Local cohomology modules supported on monomial ideals 

    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 D-mòduls per tal ...

    Localización y conservación de estructuras en homotopía estable 

    Gutiérrez Marín, Javier J. (Date of defense: 2004-09-10)

    EN CASTELLANO:<br/><br/>La localización es una técnica bien conocida en álgebra conmutativa y geometría algebraica. Muchas de las propiedades formales de las localizaciones de módulos son compartidas por otras transformaciones ...

    Moduli spaces of vector bundles on algebraic varieties 

    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 <i>X</I>, with ...

    Multigraded Structures and the Depth of Blow-up Algebras 

    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 module, the asymptotic ...

    Nombres d'extensions abelianes i les seves funcions generatrius 

    Travesa i Grau, Artur (Date of defense: 1988-02-25)

    Aquesta memona està dedicada a l'estudi dels nombres d'extensions abelianes en dos casos importants. En el primer capítol treballem en el cas local. Sigui K una extensió finita de Q(p); M. Krasner el 1.966 i J-P. Serre el ...

    On Higher Arithmetic Intersection Theory 

    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 needed for chapters ...

    On low degree curves in C(2) 

    Sáez Cornellana, Meritxell (Date of defense: 2014-07-16)

    This thesis studies curves in the symmetric square of a curve, C(2). We characterize them, study their immersion in C(2) and deduce properties of the curve C from the existence of curves in C(2) of specific type. In addition, ...

    On Sandwiched Surface Singularities and Complete Ideals 

    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 transformations ...

    On symplectic linearization of singular Lagrangian foliations 

    Miranda Galcerán, Eva (Date of defense: 2003-09-22)

    En esta tesis se estudia el problema de clasificación de estructuras simplécticas definidas en un entorno de una órbita singular compacta de un sistema completamente integrable sobre una variedad simpléctica para las cuales ...

    On the diagonals of a Rees algebra 

    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 projective varieties ...

    On the hyperbolic uniformization of Shimura curves with an Atkin-Lehner quotient of genus 0 

    Nualart Riera, Joan (Date of defense: 2016-02-03)

    The main goal of this thesis is to contribute to the explicit hyperbolic uniformization of Shimura curves. We will restrict to the case of curves attached to Eichler orders in rational quaternion algebras whose maximal ...

    On the Slope and Geography of Fibred Surfaces and Threefolds. 

    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 of the direct image ...

    Polígonos de Newton de orden superior y aplicaciones aritméticas 

    Montes, Jesús (Date of defense: 1999-09-01)

    La teoría algebraica de números tiene sus inicios en los trabajos de Kummer sobre la ecuación de Fermat. En los anillos ciclotómicos deja de ser cierto el teorema fundamental de la aritmética: los elementos descomponen en ...

    Producte, convexificació i completació d'espais mètrics generalitzats i probabilístics. 

    Alsina Català, Claudi (Date of defense: 1978-01-01)

    En aquesta tesi s'estudien les tipologies de l'ordre i els productes d'espais mètrics generalitzats aplicant els resultats al cas del producte numerable d'espais mètrics probabilístics (Sigma i Tau Productes) de Menger, ...

    Representacions de Galois i corbes el·líptiques 

    Lario i Loyo, Joan-Carles (Date of defense: 1991-09-17)

    El 1987, J.-P. Serre publica la seva conjectura (3.2.4?) sobre representacions de Galois modulars. Com a conseqüència es tindrien, entre d'altres, la conjectura de Shimura-Taniyama-Weil, el darrer teorema de Fermat, ...

    Shimura curves and their p-adic uniformization = Corbes de Shimura i les seves uniformitzacions p-àdiques 

    Milione, Piermarco (Date of defense: 2016-01-29)

    The main purpose of this dissertation is to introduce Shimura curves from the non-Archimedean point of view, paying special attention to those aspects that can make this theory amenable for computations. Despite the fact ...