Moduli Spaces of Semistable Sheaves on Singular Genus One Curves

We find some equivalences of the derived category of coherent sheaves on a Gorenstein genus one curve that preserve the (semi)-stability of pure dimensional sheaves. Using them we establish new identifications between certain Simpson moduli spaces of semistable sheaves on the curve. For rank zero, the moduli spaces are symmetric powers of the curve whilst for a fixed positive rank there are only a finite number of non-isomorphic spaces. We prove similar results for the relative semistable moduli spaces on an arbitrary genus one fibration with no conditions either on the base or on the total space. For a cycle $E_N$ of projective lines, we show that the unique degree 0 stable sheaves are the line bundles having degree 0 on every irreducible component and the sheaves $\mathcal{O}(-1)$ supported on one irreducible component. We also prove that the connected component of the moduli space that contains vector bundles of rank $r$ is isomorphic to the $r$-th symmetric product of the rational curve with one node.Comment: 26 pages, 4 figures. Added the structure of the biggest component of the moduli space of sheaves of degree 0 on a cycle of projective lines. Final version; to appear en IMRS (International Mathematics Research Notices 2009

El diálogo socrático y las ventajas de su aplicabilidad en el aula. Una reivindicación del pensamiento crítico a través de la autonomía

Partiendo del contexto histórico cultural y social en el que se engendra el método socrático y ayudándome principalmente de las teorías de W. Jaeger, entre otros, se expondrá en qué consiste dicho método. Posteriormente se llevará a cabo un análisis sobre la posibilidad de aplicación del método socrático en la actualidad en el ámbito educativo a través de la teoría de M. Nussbaum para comprobar los beneficios e inconvenientes que este podría acarrear al aplicarlo analógicamente en la actualidad, siempre con una serie de modificaciones acordes al devenir histórico. El análisis conducirá a la necesidad de promover una enseñanza basada en el método socrático que sea orientativa y reflexiva en la que garantice la libertad del individuo, algo que difícilmente se respeta en el modelo de enseñanza imperante

La cultura organizativa como dinamizadora de los organismos públicos

[ES] La cultura organizativa de una organización es el conjunto de normas no formales que toda organización acepta. La función de la cultura organizacional es estar al servicio de la estrategia de la empresa y ayudar a la adaptación al cambio, necesario en toda organización. Existen muchos factores que influyen en la Cultura organizativa, como son la propiedad, el tamaño de la empresa, la estrategia de la empresa o la tecnología entre otros. En este trabajo el alumno estudiará la cultura organizativa de un organismo público y propondrá mejoras para que a través de la misma se consiga un mayor dinamismo de la institución.[EN] The organisational culture of an organisation is the set of non-formal norms that an organisation accepts. accepts. The function of organisational culture is to serve the company's the company's strategy and to help it adapt to change, which is necessary in any organisation. organisation. There are many factors that influence organisational culture, such as ownership, size of the company, company strategy, technology and others. technology among others. In this work the student will study the organisational culture of a public body and propose organisational culture of a public body and will propose improvements so that, through to achieve a greater dynamism of the institution.Gómez Sánchez, MC. (2022). La cultura organizativa como dinamizadora de los organismos públicos. Universitat Politècnica de València. http://hdl.handle.net/10251/18766

Long-Term Effectiveness of a Smartphone App and a Smart Band on Arterial Stiffness and Central Hemodynamic Parameters in a Population with Overweight and Obesity (Evident 3 Study): Randomised Controlled Trial

Background: mHealth technologies could help to improve cardiovascular health; however, their effect on arterial stiffness and hemodynamic parameters has not been explored to date. Objective: To evaluate the effect of a mHealth intervention, at 3 and 12 months, on arterial stiffness and central hemodynamic parameters in a sedentary population with overweight and obesity. Methods: Randomised controlled clinical trial (Evident 3 study). 253 subjects were included: 127 in the intervention group (IG) and 126 in the control group (CG). The IG subjects were briefed on the use of the Evident 3 app and a smart band (Mi Band 2, Xiaomi) for 3 months to promote healthy lifestyles. All measurements were recorded in the baseline visit and at 3 and 12 months. The carotid-femoral pulse wave velocity (cfPWV) and the central hemodynamic parameters were measured using a SphigmoCor System® device, whereas the brachial-ankle pulse wave velocity (baPWV) and the Cardio Ankle Vascular Index (CAVI) were measured using a VaSera VS-2000® device. Results: Of the 253 subjects who attended the initial visit, 237 (93.7%) completed the visit at 3 months of the intervention, and 217 (85.3%) completed the visit at 12 months of the intervention. At 12 months, IG showed a decrease in peripheral augmentation index (PAIx) (−3.60; 95% CI −7.22 to −0.00) and ejection duration (ED) (−0.82; 95% CI −1.36 to −0.27), and an increase in subendocardial viability ratio (SEVR) (5.31; 95% CI 1.18 to 9.44). In CG, cfPWV decreased at 3 months (−0.28 m/s; 95% CI −0.54 to −0.02) and at 12 months (−0.30 m/s, 95% CI −0.54 to −0.05), central diastolic pressure (cDBP) decreased at 12 months (−1.64 mm/Hg; 95% CI −3.19 to −0.10). When comparing the groups we found no differences between any variables analyzed. Conclusions: In sedentary adults with overweight or obesity, the multicomponent intervention (Smartphone app and an activity-tracking band) for 3 months did not modify arterial stiffness or the central hemodynamic parameters, with respect to the control group. However, at 12 months, CG presented a decrease of cfPWV and cDBP, whereas IG showed a decrease of PAIx and ED and an increase of SEVR

A Characterization of Jacobians by the Existence of Picard Bundles

Based on the Matsusaka-Ran criterion we give a criterion to characterize when a principal polarized abelian variety is a Jacobian by the existence of Picard bundles.Comment: Latex, 11 page

REPASA, un Repositorio Web de objetos de aprendizaje estandarizados por taxonomías

El repositorio RepASA de material didáctico es una aplicación Web cuyo principal objetivo es el de facilitar a los alumnos y profesores de diferentes materias, compartir y acceder a material educativo que les ayude en sus estudios. A diferencia de otros recursos similares, este repositorio tiene la ventaja de que son sus propios usuarios registrados quienes, mediante sus propias subidas de material, se encargan de actualizar y de controlar sus contenidos, incluso los de otros usuarios. Nuestro objetivo principal ha sido crear una aplicación útil para todo tipo de estudiantes y profesores a la hora de compartir material didáctico de diferentes campos, además de que sea fácil de buscar y encontrar lo que se necesite, incluso donde gente no registrada también puede aprovechar lo que se publica en el repositorio. [ABSTRACT] The RepASA repository of teaching materials is a web application whose main purpose is to provide students and teachers of different subjects, share and access to educational materials to help them in their studies. Unlike other similar resources, this repository has the advantage that they are their own registered users who, through their own material upload, are responsible for updating and controlling its content, including by other users. Our main goal has been to create a useful application for all students and teachers in sharing teaching materials in different fields, as well as make it easy to search and find what you need, even no registered people can also benefit of what published in the repository

Differentiation of Trichuris species using a morphometric approach

Trichuris trichiura is a nematode considered as the whipworm present in humans and primates. The systematics of the genus Trichuris is complex. Morphological studies of Trichuris isolated from primates and humans conclude that the species infecting these hosts is the same. Furthermore, numerous molecular studies have been carried out so far to discriminate parasite species from humans and Non-Human Primates using molecular techniques, but these studies were not performed in combination with a parallel morphological study. The hypothesised existence of more species of Trichuris in primates opens the possibility to revise the zoonotic potential and host specificity of T. trichiura and other putative new species of whipworms. In the present work, a study of Trichuris Roederer, 1761 (Nematoda:Trichuridae) parasitizing C. g. kikuyensis, P. ursinus, Macaca sylvanus, Pan troglodytes, and Sus scrofa domestica has been carried out using modern morphometric techniques in order to differentiate populations of Trichuris isolated from four species of captive NHP from different geographical regions, and swine, respectively. The results obtained revealed strong support for geometrical morphometrics as a useful tool to differentiate male Trichuris populations. Therefore, morphometrics in combination with other techniques, such as molecular biology analyses, ought to be applied to further the differentiation of male populations. On the other hand, morphometrics applied to female Trichuris species does not seem to contribute new information as all the measurements combinations of obtained from females always showed similar resultsMinistry of Economy,Industry and Competitiveness(CGL2017-83057)FEDER funds, the Junta de Andalucía (BIO-338)V Plan Propio de Investigación of the University of Sevill