Browsing Universitat de Barcelona by Author "Universitat de Barcelona. Departament d'Àlgebra i Geometria"

Now showing items 1-9 of 9

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 ...

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, ...

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 ...

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 ...

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 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 ...

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 ...

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 ...