What is the Jacobian of a Riemann surface with boundary?

We define the Jacobian of a Riemann surface with analytically parametrized boundary components. These Jacobians belong to a moduli space of "open abelian varieties" which satisfies gluing axioms similar to those of Riemann surfaces, and therefore allows a notion of "conformal field theory" to be defined on this space. We further prove that chiral conformal field theories corresponding to even lattices factor through this moduli space of open abelian varieties.

Constructing a Social Accounting Matrix for Libya

In this paper a Social Accounting Matrix is constructed for Libya for the year 2000. The procedure was divided into three steps. First, a macro SAM was constructed to consistently capture and represent the macroeconomic framework of the Libyan economy in 2000. Second, that macro SAM was disaggregated into a micro SAM incorporating the accounts for individual activities, primary factors and the main economic institutions. But the SAM obtained in this way was not balanced. So in thE final step we balanced the SAM using a cross-entropy procedure in General Algebraic Modelling System (GAMS). This SAM integrates national income, inputoutput, flow-of-funds, and foreign trade statistics into a comprehensive and consistent dataset. The lack of coherent time series data for Libya is a serious obstacle for applied research that uses econometric analysis. Our main intension in constructing this SAM has been one of providing benchmark data for economy-wide analysis using CGE modelling for Libya.

Aplicacions contínues entre espais classificadors de grups p-locals finits

Projecte de recerca elaborat a partir d’una estada a la Universitat d'Aberdeen, Irlanda, entre abril i maig del 2007. Un dels objectius de la topologia algebraica és la de classificar espais topològics i aplicacions continues mitjançant estructures algebraiques associades a ells. És a dir, mitjançant diferents maneres d'associar un objecte algebraic a un espai, es pretén reflectir el màxim de la seva estructura topològica. D'altra banda, donat un grup G, se li pot associar un espai topològic BG anomenat l'espai classificador del grup que és l'espai que classifica els G-fibrats vectorials. El programa d'estudiar el tipus d'homotopia d'espais i aplicacions contínues ha donat molts fruits quan els espais que s'estudien són espais classificadors (en particular, grups finits i grups de Lie). En particular, a causa del fet que moltes propietats algebraiques del grup queden reflectides en l'espai classificador, aquest tipus d'espais juguen un paper molt important en la interelació entre l'àlgebra i la topologia. Per exemple, els treballs de Dwyer, Zabrodsky i Mislin identifiquen les aplicacions contínues entre espais classificadors d'un p-grup i un grup qualsevol amb els morfismes entre grups llevat conjugació. L’objectiu d’aquest projecte és el de descriure les aplicacions contínues entre p-completats d’espais classificadors a partir d’informació algebraica referent a l’estructura de p-subgrups de cadascun d’ells.

Marbles and carbonate rocks from central Morocco: a petrographic, mineralogical and geochemical study

Petrographic, mineralogical, and stable isotopes (delta C-13, delta O-18 values) compositions were used to characterise marbles and sedimentary carbonate rocks from central Morocco, which are considered to be a likely source of ornamental and building material from Roman time to the present day. This new data set was used in the frame of an archaeometric provenance study on Roman artefacts from the town of Thamusida (Kenitra, north Morocco), to assess the potential employment of these rocks for the manufacture of the archaeological materials. A representative set of samples from marbles and other carbonate rocks (limestone, dolostone) were collected in several quarries and outcrops in the Moroccan Meseta, in a region extending from the Meknes-Khenifra alignment to the Atlantic Ocean. All the samples were studied using a petrographic, mineralogical and geochemical methods. The petrographic and minerological investigations (optical microscopy, electron microscopy, X-ray diffraction) allowed to group the carbonate rocks in limestones, foliated limestone, diagenetic breccias and dolostone. The limestones could be further grouped as mudstones, wackestones-packstones, crinoid grainstones, oolitic grainstone and floatstones. Textural differences allowed to define marbles varieties. The stable carbon and oxygen isotope composition proved to be quite useful in the discrimination of marble sources, with apparently less discriminatory potential for carbonate rocks.

Trade Costs, International Competition and Selection: The Effects of Unionisation on Market Size

Within a two-country model of international trade in which heterogeneous firms face firm-specific unions, we study the effects of different forms of trade liberalisation on market structure and competitive selection in the presence of inter-country asymmetries in size and labour market institutions. For given levels of trade openness, an increase in a country’s relative unions’ strength reduces the average productivity of its domestic producers but increases that of its exporters. Whilst an unfavourable union power differential, by increasing wages, weakens a country’s firms’ competitive position, the higher wages reinforce standard market access mechanisms to give rise to aggregate income effects. When the initial levels of trade openness are sufficiently low, this ‘expansionary’ aggregate effect can attract industry in the country with stronger unions and also result in an increase in the extensive margin of exports. For sufficiently large inter-country differences in the bargaining power of unions, trade liberalization can then result in a pro-variety effect, with an increase in the total availability of varieties to consumers in both countries, regardless of there being inter-country differences in size.

On the trace of an endofunctor of a small category

The trace of a square matrix can be defined by a universal property which, appropriately generalized yields the concept of "trace of an endofunctor of a small category". We review the basic definitions of this general concept and give a new construction, the "pretrace category", which allows us to obtain the trace of an endofunctor of a small category as the set of connected components of its pretrace. We show that this pretrace construction determines a finite-product preserving endofunctor of the category of small categories, and we deduce from this that the trace inherits any finite-product algebraic structure that the original category may have. We apply our results to several examples from Representation Theory obtaining a new (indirect) proof of the fact that two finite dimensional linear representations of a finite group are isomorphic if and only if they have the same character.

Grothendieck topologies from unique factorisation systems

This article presents a way to associate a Grothendieck site structure to a category endowed with a unique factorisation system of its arrows. In particular this recovers the Zariski and Etale topologies and others related to Voevodsky's cd-structures. As unique factorisation systems are also frequent outside algebraic geometry, the same construction applies to some new contexts, where it is related with known structures dened otherwise. The paper details algebraic geometrical situations and sketches only the other contexts.

The resistance of seeds of cowpea (Vigna unguiculata) to the cowpea weevil (Callosobruchus maculatus)

Cowpea (Vigna unguiculata) seeds are heavily damaged during storage by the bruchid Callosobruchus maculatus. Seeds of some Nigerian varieties showed a strong resistance to this bruchid. By utilizing biochemical and entomological techniques we were able to rule out the paticipation of proteolytic enzyme (trypsin, chimotrypsin, subtilisin and papain) inhibitors, lectins, and tannins in the resistance mechanisms. Fractionation of the seed meal of a resistant variety suggests that the factor(s) responsible for the effect is (are) concentrate in the globulin fraction.

Trade liberalization, competition and growth

Increasing evidence support the claim that international trade enhances innovation and productivity growth through an increase in competition. This paper develops a two-country endogenous growth model, with firm specific R&D and a continuum of oligopolistic sectors under Cournot competition to provide a theoretical support to this claim. Since countries are assumed to produce the same set of varieties, trade openness makes markets more competitive, reducing prices and increasing quantities. Under Cournot competition, trade is pro-competitive. Since firms undertake cost reducing innovations, the increase in production induced by a more competitive market push firms to innovate more. Consequently, a reduction on trade barriers enhances growth by reducing domestic firm's market power.

Genotype-level interactions determine the degree of reduction of leaf rust on wheat by seed application of beneficial Pseudomonas spp.

Some bacteria have the capacity to reduce incidence and severity of plant diseases either by inhibiting the pathogen or by modulating the resistance response of the plant. Plants dispose of different resistance mechanisms that are influenced by the biotic and abiotic environment. The present experiments explored the effects of biocontrol strains of Pseudomonas fluorescens on the resistance of wheat varieties against brown rust disease caused by Puccinia triticina. Root inoculation with biocontrol pseudomonads reduced the disease severity on the leaves. The plant response depended on the genotype of both the microbes and the wheat varieties, suggesting a straight interaction at the molecular level.

Adolescent's suicide attempts: populations at risk, vulnerability, and substance use.

Adolescence corresponds to a transition period that requires adaptation and change capacities and skills. Most young people succeed with this challenge, whereas a minority fail. In order to identify with the teenage culture, become autonomous, and differentiate from their parents, some adolescents choose to use drugs, beginning with the use of cigarettes, alcohol, cannabis, followed by other illicit drugs such as opiates and stimulants. A high proportion of these adolescents attempt suicide, which is the primary cause of death during adolescence in many European countries. Who are the "vulnerable" adolescents? What are the mechanisms that can explain the varieties of drug-use initiation or suicide attempts? Can "protective factors" be identified? What kind of strategies might be developed at a social and political level in order to prevent or to minimize drug abuse and suicide attempts, among other harmful behaviors? These issues will be discussed on the basis of the recent literature and in the light of a recent study carried out in the French-speaking part of Switzerland on large cohorts of adolescent drug users. Unresolved critical issues are noted and future needed research is suggested.

Estudi de la reformació amb vapor de biocombustibles per a l'obtenció d'hidrogen utilitzant suports estructurats ceràmics funcionalitzats

Donada una aplicació racional en una varietat complexa, Bellon i Viallet van definit l’entropia algebraica d’aquesta aplicació i van provar que aquest valor és un invariant biracional. Un invariant biracional equivalent és el grau asimptòtic, grau dinàmic o complexitat, definit per Boukraa i Maillard. Aquesta noció és propera a la complexitat definida per Arnold. Conjecturalment, el grau asimptòtic satisfà una recurrència lineal amb coeficients enters. Aquesta conjectura ha estat provada en el cas polinòmic en el pla afí complex per Favre i Jonsson i resta oberta en per al cas projectiu global i per al cas local. L’estudi de l’arbre valoratiu de Favre i Jonsson ha resultat clau per resoldre la conjectura en el cas polinòmic en el pla afí complex. El beneficiari ha estudiat l’arbre valoratiu global de Favre i Jonsson i ha reinterpretat algunes nocions i resultats des d’un punt de vista més geomètric. Així mateix, ha estudiat la demostració de la conjectura de Bellon – Viallet en el cas polinòmic en el pla afí complex com a primer pas per trobar una demostració en el cas local i projectiu global en estudis futurs. El projecte inclou un estudi detallat de l'arbre valoratiu global des d'un punt de vista geomètric i els primers passos de la demostració de la conjectura de Bellon - Viallet en el cas polinòmic en el pla afí complex que van efectuar Favre i Jonsson.

Aspectes geomètrics i dinàmics de transformacions racionals planes

Donada una aplicació racional en una varietat complexa, Bellon i Viallet van definit l’entropia algebraica d’aquesta aplicació i van provar que aquest valor és un invariant biracional. Un invariant biracional equivalent és el grau asimptòtic, grau dinàmic o complexitat, definit per Boukraa i Maillard. Aquesta noció és propera a la complexitat definida per Arnold. Conjecturalment, el grau asimptòtic satisfà una recurrència lineal amb coeficients enters. Aquesta conjectura ha estat provada en el cas polinòmic en el pla afí complex per Favre i Jonsson i resta oberta en per al cas projectiu global i per al cas local. L’estudi de l’arbre valoratiu de Favre i Jonsson ha resultat clau per resoldre la conjectura en el cas polinòmic en el pla afí complex. El beneficiari ha estudiat l’arbre valoratiu global de Favre i Jonsson i ha reinterpretat algunes nocions i resultats des d’un punt de vista més geomètric. Així mateix, ha estudiat la demostració de la conjectura de Bellon – Viallet en el cas polinòmic en el pla afí complex com a primer pas per trobar una demostració en el cas local i projectiu global en estudis futurs. El projecte inclou un estudi detallat de l'arbre valoratiu global des d'un punt de vista geomètric i els primers passos de la demostració de la conjectura de Bellon - Viallet en el cas polinòmic en el pla afí complex que van efectuar Favre i Jonsson.

Identificación de variedades de vitis vinifera procedentes de diferentes regiones del mundo mediante tècnica de biologia molecular de los microsatéllites

El objetivo de este estudio se centró en analizar una colección privada de germoplasma de Vitis vinifera L., de 338 cultivares procedentes de 24 países, para caracterizarlas creando una base de datos, utilizando 11 marcadores microsatélites o SSR (Simple Sequence Repeat). Como resultado se encontraron que algunas de las muestras analizadas presentaron un perfil idéntico de SSR, indicando que se trata de una sinonimia (la misma variedad pero con diferente nombre). Se detectaron 293 perfiles únicos. Adicionalmente, 15 pares de variedades presentaron diferencias en un solo locus y otros 7 grupos difieren en 2 loci, lo cual indicaría la alta proximidad genética entre esas variedades, sin llegar a ser la misma. El germoplasma analizado cuenta con una compleja biodiversidad varietal que se debe preservar. El estudio se realizó programando para el primer año la revisión bibliográfica detallada, recolección de las hojas y el inicio de la puesta a punto de la metodología, en el segundo año se completa la puesta a punto de la metodología, se trituran las hojas y se realiza la extraccinón del ADN. El tercer año se emplea para amplificar los fragmentos de ADN por medio de la PCR (reacción en cadena de la polimerasa), obtener la longitud de los fragmentos con un secuenciador ABI PRISM 310, valorar resultados y realizar repeticiones. El último año se analizan los resultados obtenidos, se realizan repeticiones pertinentes y se comienza la redacción de artículos científicos.

Application of the combined integral method to Stefan problems

In this paper we present a new, accurate form of the heat balance integral method, termed the Combined Integral Method (or CIM). The application of this method to Stefan problems is discussed. For simple test cases the results are compared with exact and asymptotic limits. In particular, it is shown that the CIM is more accurate than the second order, large Stefan number, perturbation solution for a wide range of Stefan numbers. In the initial examples it is shown that the CIM reduces the standard problem, consisting of a PDE defined over a domain specified by an ODE, to the solution of one or two algebraic equations. The latter examples, where the boundary temperature varies with time, reduce to a set of three first order ODEs.