Adams Representability in Triangulated Categories 

    Raventós Morera, Oriol (Date of defense: 2011-03-18)

    This thesis contains new results about the representability of cohomological functors defined on a subcategory of compact objects (with respect to a fixed cardinal) of a well generated triangulated category. Classical ...

    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 ...

    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 ...

    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 ...

    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 ...

    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 ...

    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 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 ...

    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 ...

    Sobre inmersiones isométricas de variedades riemannianas en espacios euclideos 

    Currás Bosch, Carlos (Date of defense: 1977-12-01)

    John Nash probó la existencia de inmersión e inmersión homeomorfa inyectiva isométricas de cualquier variedad Riemanniana en un espacio euclídeo de dimensión suficiente. Desde entonces el estudio de las inmersiones isométricas ...

    Sobre la existencia del esquema de Hilbert de los gérmenes de curva de (KN,0) 

    Elías García, Joan (Date of defense: 1984-12-01)

    Esta memoria pretende contribuir al estudio de las singularidades de los gérmenes de curva alabeada en los tres aspectos siguientes:<br/><br/>(A) Propiedades de los gérmenes de curva que quedan determinadas por una de sus ...

    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 ...

    Stability and moduli spaces of syzygy bundles 

    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 free resolution ...