Now showing items 1-20 of 23

• #### An ellipsoidal billiard with a quadratic potential ﻿

(2003)
Article
Open Access
There exists an in infite hierarchy of integrable generalizations of the geodesic flow on an n -di- mensional ellipsoid.hese generalizations describe the motion of a point in the force fields of certain polynomial potentials.In ...
• #### Closed Geodesics and Billiards on Quadrics related to elliptic KdV solutions ﻿

(2004)
Article
Open Access
We consider algebraic geometrical properties of the integrable billiard on a quadric Q with elastic impacts along another quadric confocal to Q. These properties are in sharp contrast with those of the ellipsoidal Birkho® ...
• #### Compact Hausdorff group topologies for the additive group of real numbers ﻿

Part of book or chapter of book
Open Access
This volume contains the contributions presented by several colleagues as a tribute to the mathematical and human qualities of Jos e Mar a Montesinos Amilibia on the occasion of his seventieth birthday. The editors would ...
• #### Curves and surfaces with constant nonlocal mean curvature: Meeting Alexandrov and Delaunay ﻿

(2018-12-01)
Article
Open Access
We are concerned with hypersurfaces of RN with constant nonlocal (or fractional) mean curvature. This is the equation associated to critical points of the fractional perimeter under a volume constraint. Our results are ...
• #### Estudi de trajectòries basat en l’anàlisi multiescala de la curvatura ﻿

(Universitat Politècnica de Catalunya, 2007-03-09)
Master thesis (pre-Bologna period)
Open Access
Aquest document conté l’estudi de la tècnica multiescala aplicada al camp de l'anàlisi de trajectòries sobre robots seguint patrons de la natura per poder així contrastar les coordenades recollides de la trajectòria amb ...
• #### Extension of maps defined on many fibres ﻿

(1997)
Article
Open Access
Let S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base ...
• #### Fitting a two-joint orthogonal chain to a point set ﻿

(2011-04)
Article
Open Access
We study the problem of fitting a two-joint orthogonal polygonal chain to a set S of n points in the plane, where the objective function is to minimize the maximum orthogonal distance from S to the chain. We show that this ...
• #### Influència dels materials magnètics en diverses màquines elèctriques rotatives ﻿

(Universitat Politècnica de Catalunya, 2005-11)
Master thesis (pre-Bologna period)
Restricted access - author's decision
El fenomen del magnetisme ha anat agafant protagonisme en el camp de les màquines elèctriques, ja que els materials magnètics aporten bones qualitats al seu funcionament. L’objectiu d’aquest treball és analitzar el ...
• #### Local geometry of analytic planar morphisms ﻿

(Universitat Politècnica de Catalunya, 2017-07)
Master thesis
Open Access
This work focuses in the study of local geometry of analytic planar morphisms. First, we introduce the basic concepts that will be needed to present the main part of the work. Secondly, we study the effect of analytic ...
• #### Moduli spaces and formal operads ﻿

(2003)
Article
Open Access
Let Mg,l be the moduli space of stable algebraic curves of genus g with l marked points. With the operations which relate the different moduli spaces identifying marked points, the family (Mg,l)g,l is a modular operad ...
• #### Multiplier ideals of plane curves ﻿

(Universitat Politècnica de Catalunya, 2012-10)
Master thesis
Restricted access - author's decision
Multiplier ideals and their corresponding jumping numbers have been revealed as a fundamental tool to measure the singularity of plane curves. There are approaches to these objects from both Commutative Algebra and Algebraic ...
• #### Obtenció del circuit equivalent del motor d'inducció a partir de la separació de pèrdues ﻿

(Universitat Politècnica de Catalunya, 2009-01-30)
Master thesis (pre-Bologna period)
Open Access
Aquest és un estudi que pretén parametritzar els components elèctrics del circuit equivalent d’un motor d’inducció trifàsic gràcies a un procés de càlcul a partir de la separació de pèrdues, amb la finalitat de poder ...
• #### On the elliptic Stark conjecture at primes of multiplicative reduction ﻿

(2019-01-01)
Article
Open Access
In [DLR], Darmon, Lauder, and Rotger formulated a p-adic elliptic Stark conjecture for the twist of an elliptic curve E/Q by the self-dual tensor product ¿ ¿ of two odd and two-dimensional Artin representations. These ...
• #### On the slope of bielliptic fibrations ﻿

(1997)
Article
Open Access
Let $\pi :S\longrightarrow B$ be a bielliptic fibration. We prove $S$ is, up to base change, a rational double cover of an elliptic fibration and that $\pi$ is isotrivial provided it is smooth. Finally, we prove that the ...
• #### On the slope of fibred surfaces ﻿

(1998)
Article
Open Access
• #### On the Torelli problem and Jacobian Nullwerte in genus three ﻿

(2008)
Article
Open Access
We give a closed formula for recovering a non-hyperelliptic genus three curve from its period matrix, and derive some identities between Jacobian Nullwerte in dimension three.
• #### Optimizations in the computation of pairings and cryptographic applications ﻿

(Universitat Politècnica de Catalunya, 2013-07)
Master thesis
Open Access
En la criptografía de clave pública actual el uso de curvas elípticas es cada vez más habitual debido a que ofrecen una seguridad similar a los ya utilizados cuerpos finitos, pero con unas claves más cortas. Por otra parte, ...
• #### Procedimiento de empaquetamiento de partículas genéricas para el Método de Elementos Discretos ﻿

(Universitat Politècnica de Catalunya, 2009)
Article
Open Access
Se establecen los fundamentos matemáticos que permiten obtener empaquetamientos de partículas genéricas, lo cual contribuirá a realizar simulaciones y modelaciones de problemas físicos, a través del método de los elementos ...
• #### Proper generalized decomposition solutions within a domain decomposition strategy ﻿

(John Wiley & sons, 2018-03-30)
Article
Open Access
Domain Decomposition strategies and the Proper Generalized Decomposition are efficiently combined to obtain a fast evaluation of the solution approximation in parameterized elliptic problems with complex geometries. The ...
• #### Rational parametrization of Q-curves: Sage implementatio ﻿

(Universitat Politècnica de Catalunya, 2013-09)
Bachelor thesis
Open Access
En aquest treball donarem una parametrització d'un tipus especial de corbes algebràiques anomenades "Q-corbes". Primer farem una introducció per familiartizar al lector amb conceptes bàsics i resultats previs, i després ...