The urban morphology of Braga between Late Antiquity and the fourteenth-fifteenth centuries

This paper aims to approach the urban transformation processes occurring in the city of Braga between Late Antiquity and the fourteenth-fifteenth centuries. Our approach is based upon the cross-referencing of documental, iconographic and cartographic data with data emerging from archaeological works conducted across the city throughout the last two decades. Despite the scarcity in sources documenting the historical period under study, a similar circumstance registered in other western European cities, new and emerging archaeological data associated with a regressive analysis of available information for the forthcoming centuries —documents, maps, plans and illustrations, have been contributing towards an advance in the overall knowledge regarding the continuity and changing processes impacting upon the urban area of Braga. Thereby, our goal is to develop a synthesis work describing the major evolutionary stages happening in Braga from the fifth to the fifteenth centuries and based upon anintegrated analysis of the architectonic markers, the morphology present in the urban setting, the existing Christian topography, the defensive system and the main road network.

A proof that all Seifert 3-manifold groups and all virtual surface groups are conjugacy separable

We prove that the fundamental group of any Seifert 3-manifold is conjugacy separable. That is, conjugates may be distinguished infinite quotients or, equivalently, conjugacy classes are closed in the pro-finite topology.

Generalized property R and the Schoenflies Conjecture

There is a relation between the generalized Property R Conjecture and the Schoenflies Conjecture that suggests a new line of attack on the latter. The new approach gives a quick proof of the genus 2 Schoenflies Conjecture and suffices to prove the genus 3 case, even in the absence of new progress on the generalized Property R Conjecture.

Reduction, Linearization and stability of relative equilibria for mechanical systems on riemannian manifolds

Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified treatment is provided, solely in the language of Riemannian geometry, of techniques in reduction, linearization, and stability of relative equilibria. In particular, for mechanical control systems, an explicit characterization is given for the manner in which reduction by an infinitesimal isometry, and linearization along a controlled trajectory "commute." As part of the development, relationships are derived between the Jacobi equation of geodesic variation and concepts from reduction theory, such as the curvature of the mechanical connection and the effective potential. As an application of our techniques, fiber and base stability of relative equilibria are studied. The paper also serves as a tutorial of Riemannian geometric methods applicable in the intersection of mechanics and control theory.

Minimal truncations of supersingular p-divisible groups

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Refilling meridians in a genus 2 handlebody complement

Suppose a genus two handlebody is removed from a 3-manifold M and then a single meridian of the handlebody is restored. The result is a knot or link complement in M and it is natural to ask whether geometric properties of the link complement say something about the meridian that was restored. Here we consider what the relation must be between two not necessarily disjoint meridians so that restoring each of them gives a trivial knot or a split link.

Non compact euclidean cone 3-manifolds with cone angles less than 2∏

We study of noncompact Euclidean cone manifolds with cone angles less than c&2π and singular locus a submanifold. More precisely, we describe its structure outside a compact set. As a corol lary we classify those with cone angles & 2π/3 and those with cone angles = 2π/3.

Traverso's isogeny conjecture for p-divisible groups

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The bogomolov conjecture for totally degenerate Abelian varieties

We prove the Bogomolov conjecture for a totally degenerate abelian variety A over a function field. We adapt Zhang's proof of the number field case replacing the complex analytic tools by tropical analytic geometry. A key step is the tropical equidistribution theorem for A at the totally degenerate place.

Tropical varieties for non-archimedean analytic spaces

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Diophantine approximation on projective varieties I: algebraic distance and metric Bézout theorem

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On the asymptotic expansion of the colored Jones polynomial for torus knots

In the asymptotic expansion of the hyperbolic specification of the colored Jones polynomial of torus knots, we identify different geometric contributions, in particular Chern-Simons invariant and Reidemeister torsion.

Tomato response to a high light transmission greenhouse film

Increasing greenhouse light transmission has a positive effect not only in Northern latitudes but in Mediterranean countries as well. A greenhouse, H2, with a tetrafluoroethylene copolymer 60 microns film, (Asahi Glass company, Aflex) characterised by its high light transmission and durability was compared to another greenhouse with a co-extruded film considered as a control, H1. Tomato crop response to the increase in light during winter and summer with high temperature and light was evaluated. Light transmission in H2 remained very high in spite of the observed dust accumulation and the low angle of incidence of the winter solar radiation. Transmissivity was clearly higher for H2 (81 to 83 % throughout the season) than in the control (around 63 %). The rest of the climatic parameters were similar in both greenhouses, either in the winter or in the summer evaluations. In spite of the high solar radiation in H2, the summer temperature could be maintained at the desired levels by using evaporative cooling. Accumulated tomato yield and quality was better in the H2 greenhouse (15 % more for the winter crop and 27% more for the summer crop). Fruit size was bigger in the winter crop. As an overall conclusion, the use of high light transmissive films in Mediterranean areas is very convenient for many vegetable crops. This is valid not only in winter but in summer, provided the greenhouse has good ventilation or evaporative cooling to overcome the increase in sensible heat caused by this increase in light..

Evaluación agronómica e industrial del material vegetal de avellano en Cataluña. Estudio de nuevas aplicaciones tecnológicas de la avellana

Los frutos secos representan un peso notable en la producción final agrícola española, siendo nuestro país el segundo productor mundial de almendra (55.000 tm grano) y el cuarto de avellana (9.000 tm grano). En el caso del avellano, la superficie de España es de unas 25.000 ha (MAPA, 2000), concentrándose el 95 % de la misma en Cataluña y, más concretamente en Tarragona (18.000 ha), donde el avellano es, en diversas comarcas, una importante fuente de ingresos. Durante las últimas décadas, el sector ha estado sometido a fuertes crisis debido al descenso de precios causado, entre otros motivos, por la existencia o no de acuerdos comerciales entre la UE y Turquía sobre este fruto seco, por las oscilaciones del dólar y la competencia creciente de Turquía, que produce casi el 75 % del total mundial y cuyos costes de producción son más reducidos, por disponer de mano de obra más barata y mejores condiciones edafoclimáticas para el cultivo. Un problema adicional de la avellana española en dicho periodo, fue la poca calidad del producto obtenido, motivada por la realización inadecuada de una serie de prácticas de recogida y de postcosecha. La variedad 'Negret' es la base de la producción de avellana española para industria y, junto con la ‘Pauetet’, constituyen el tipo comercial ‘negreta’ que es el que obtiene mejor precio en el mercado nacional. Ello es debido a sus buenas características organolépticas y elevada aptitud al tostado, que constituye el punto de partida de la mayoría de aplicaciones comerciales. Por otra parte, constituye, también, la base de la producción de la Denominación de Origen ‘Avellana de Reus’. Tradicionalmente esta variedad adolece de importantes problemas de tipo agronómico (poco vigor, rebrotante, sensible a clorosis férrica, asfixia del suelo, muy virosada, etc.) y comercial (facilidad de enranciamiento, calibres pequeños, etc.), situación que ha inducido, en la última década, a la introducción de variedades foráneas (‘Tonda Giffoni’ y ‘Tonda Romana’) que en principio no presentan estos problemas. Sin embargo, la sustitución de la variedad autóctona ‘Negret’ por otras nuevas supondría la pérdida de un carácter diferencial para la producción española, que debe evaluarse con sumo cuidado.