Browsing Departament d'Algebra i Geometria by Title

Now showing items 46-50 of 50

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 ...

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 ...

Un problema aritmético sobre las sumas de tres cuadrados

Arenas Sola, Ángela (Date of defense: 1985-05-01)

DE LA TESIS:<br/><br/>Fermat, motivado por la lectura de Diofanto, conjeturó que todo entero primo congruente con 1 módulo 4 es representable de manera única, salvo el signo y el orden, como suma de dos cuadrados; también ...

Variedades de Prym de curvas bielípticas.

Naranjo del Val, Juan Carlos (Date of defense: 1990-11-07)

Las variedades de Prym forman una clase de variedades abelianas principalmente polarizadas más general que las jacobianas. Se definen asociando a un morfismo no ramificado de grado 2 entre curvas algebraicas irreducibles ...