Now showing items 1-20 of 50

    Ulrich bundles and varieties of wild representation type 

    Pons Llopis, Joan (Date of defense: 2011-06-21)

    The subject of this thesis lies at the junction of mainly three topics: construction of large families of Arithmetically Cohen-Macaulay indecomposable vector bundles on a given projective variety X, the shape (i.e, 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 ...

    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 ...

    Formes d'ona de Maass i aplicacions = Maass waveforms and applications 

    Remón Adell, Dionís (Date of defense: 2016-01-13)

    Aquesta memòria està dedicada principalment al tractament computacional de les formes d’ona de Maass i a la consideració d’algunes aplicacions pràctiques derivades del seu estudi. Per abreujar, designarem aquestes funcions, ...

    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 ...

    Construction of right inverses of the Kirwan map 

    Bellmunt Giralt, Andratx (Date of defense: 2015-12-17)

    The objects studied in this thesis are Hamiltonian spaces and it is assumed that the reader is familiar with them as explained in e.g. [Can, VII-IX] or [McSa1, §5]. The usual contents of first year graduate courses in ...

    Contributions to the study of Cartier algebras and local cohomology modules 

    Fernandez Boix, Alberto (Date of defense: 2014-11-20)

    This dissertation is devoted to the study of Cartier algebras and local cohomology modules; more precisely, we show that the Cartier algebra of a complete Stanley-Reisner ring R can only be either principally generated or ...

    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, ...

    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 ...

    Some Generalized Fermat-type Equations via Q-Curves and Modularity 

    Barroso de Freitas, Nuno Ricardo (Date of defense: 2012-10-22)

    The main purpose of this thesis is to apply the modular approach to Diophantine equations to study some Fermat-type equations of signature (r; r; p) with r >/= 5 a fixed prime and “p” varying. In particular, we will study ...

    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 ...

    Foliacions totalment geodèsiques de codimensió 1 i camps de Killing 

    Ras, Antoni (Date of defense: 1988-02-01)

    Aquest treball es refereix a foliacions i camps de Killing. Les foliacions, com a part individualitzada dins la Geometria Diferencial, pot considerarse que neixen a partir de la teoria dels sistemes dinàmics en varietats ...

    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 ...

    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) ...

    Algunos resultados sobre cohomología de las variedades kählerianas 

    Girbau i Badó, Joan (Date of defense: 1971-04-30)

    En esta tesis doctoral se desarrollan diferentes propuestas sobre la cohomología de las variedades kählerianas, tomando como origen una variedad kähleriana “W” compacta y de dimensión compleja “n”. La tesis comienza con ...

    Características bioquímicas y factores pronósticos del rechazo agudo después del trasplante ortotópico de hígado en el adulto 

    Fuster Obregón, Josep (Date of defense: 1993-04-26)

    El trasplante hepático es el tratamiento de elección en pacientes con hepatopatías en fase terminal. En la actualidad puede ofrecerse con esta terapéutica una supervivencia a los tres años que oscila entre el 60 y el 80%. ...

    Camps de Killing en varietats semiriemannianes 

    Fossas Colet, Enric (Date of defense: 1986-01-01)

    RESUM: Aquesta tesi s’organitza segons l’esquema per capítols següent: El capítol primer va encaminat a presentar el teorema de descomposició de de Rham-Wu, que estén, al cas semiriemannià, el conegut teorema de ...

    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 ...

    Aproximaciones sucesivas de las soluciones de ecuaciones en derivadas parciales de 3r orden 

    Cascante Dávila, Joaquín Mª (Date of defense: 1960-01-01)

    El presente trabajo tuvo su origen durante el transcurso de los estudios monográficos de Doctorado, correspondientes al curso académico 1952-1953 de la Sección de Matemáticas, en que nos fue propuesta en la Asignatura de ...