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 ...
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 ...
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, ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...