The aim of this work is to study the finiteness of the effective monoids and Cox rings of some anticanonical rational surfaces whose Picard numbers are very high and which are constructed as the blow-up of a Hirzebruch ...

In this thesis the construction of the theory of quivers with potentials, given by Harm Derksen, Jerzy Weyman and Andrei Zelevinsky is extended to the level of semisimple basic finite dimensional algebras containing centrally ...

We consider the initial-boundary value problem for the modified Schrödinger equation, posed on positive half-line x > 0: 8>< >: ut + iuxx + ijuj2u + j@xj 1 2 u = 0; t 0; x 0; u(x; 0) = u0(x); x > 0 ux(0; t) = h(t); t > 0: ...

This Thesis is divided in two parts: The first is the solution of a question in the field which refers to the possibility of constructing a Banach space whose asymptotic structure doesn’t contain any of space hereditarily ...

Let G be a group. A family F of subgroups of G is a set of subgroups of G which is closed under conjugation and taking subgroups. A model for the classifying space EF(G) for a family F of the group G is a terminal object ...

The first goal of this work is the study of stationary, radial accretion of matter onto a non-rotating black hole. We model the matter in the vicinity of the black hole as a relativistic fluid and neglect the self-gravity ...

We describe the relations between seven integrability notions for C∞ vector fields on the plane. The three first integrability notions are related to the existence of non-trivial first integrals. The rest of the notions ...

In this thesis we study the behavior of the gluon and ghost propagators and of the ghost-gluon and three-gluon vertices in a description of Yang-Mills theory that involves a gluonic mass term, introduced in the attempt to ...

Over the general curve C of genus g ≥ 8 we construct a regular irreducible component of the Brill-Noether locus B (2; KC; 4) which parametrizes stable rank two vector bundles with canonical determinant and at least four ...

This dissertation discusses the complete gravitational collapse of a spherical dust cloud, and a stability analysis of naked singularities arising within this model is also performed. The work starts with the derivation ...