Elliptic curves of large rank and small conductor

For r=6,7,...,11 we find an elliptic curve E/Q of rank at least r and the smallest conductor known, improving on the previous records by factors ranging from 1.0136 (for r=6) to over 100 (for r=10 and r=11). We describe our search methods, and tabulate, for each r=5,6,...,11, the five curves of lowest conductor, and (except for r=11) also the five of lowest absolute discriminant, that we found.Comment: 16 pages, including tables and one .eps figure; to appear in the Proceedings of ANTS-6 (June 2004, Burlington, VT). Revised somewhat after comments by J.Silverman on the previous draft, and again to get the correct page break

Constructing Elliptic Curves over Q(T)\mathbb{Q}(T) with Moderate Rank

We give several new constructions for moderate rank elliptic curves over $\mathbb{Q}(T)$. In particular we construct infinitely many rational elliptic surfaces (not in Weierstrass form) of rank 6 over $\mathbb{Q}$ using polynomials of degree two in $T$. While our method generates linearly independent points, we are able to show the rank is exactly 6 \emph{without} having to verify the points are independent. The method generalizes; however, the higher rank surfaces are not rational, and we need to check that the constructed points are linearly independent.Comment: 11 page

Suborbifolds and groupoid embeddings

Given the notion of suborbifold of the second author (based on ideas of Borzellino/Brunsden) and the classical correspondence (up to certain equivalences) between (effective) orbifolds via atlases and effective orbifold groupoids, we analyze which groupoid embeddings correspond to suborbifolds and give classes of suborbifolds naturally leading to groupoid embeddings

Wound Healing. Therapeutics

As feridas crónicas representam um problema grave de saúde pública e uma das causas de grande consumo de recursos em saúde. Recentes avanços no conhecimento do mecanismo de cicatrização levaram ao desenvolvimento de novos tratamentos. Definir o papel e eficácia destes novos tratamentos é o próximo passo. Os autores procuraram neste trabalho abordar algumas terapêuticas, que não terapia compressiva e material de penso, na cicatrização de feridas crónicas

Evaluación del efecto de varios fungicidas sobre la simbiosis micorrícica entre dos especies de Glomus presentes en inóculos comerciales y plántulas de Allium porrum L.

This paper reports the effect of twenty-five commonly used fungicides in agriculture on two arbuscular mycorrhizal fungi (AMF) present in commercial products of ATENS, S.L.: Glomus intraradices (Schenck & Smith) and Glomus mosseae [(Nicol. & Gerd.) Gerdemann & Trappe], forming the symbiosis with leek plants. Systemic fungicides (Aliette, Beltanol, Caddy 10, Forum, Moncut, Ortiva, Previcur, Ridomil Gold MZ, Ridomil Gold SL, Rubigan, Sinthane, Stroby, Swich, Tachigarem, Teldor, Topas 10 EC, Frupica) and non systemic fungicides (Daconil 75%, Ditiver, Euparem, INACOP, Octagón, Parmex, Terrazole and Metaram), started to be applied to soil and leaves at recommended concentrations and frequencies 4 weeks after transplant and AMF inoculation. The effect of the fungicides was assessed by comparing treated and untreated plants that were inoculated with the AMF through quantification of root mycorrhizal colonization. Among the fungicides applied to the soil, Octagon, Ditiver, Parmex and Metaram virtually eliminated the mycorrhizal symbiosis in treated plants, while the mycorrhizal colonization was not affected by the soil treatment with Beltanol, INACOP and Previcur. Three fungicides of foliar recommended application: Rubigan, Frupica, and Sinthane, strongly inhibited mycorrhizal colonization, but Aliette, Forum, Teldor, Swich and Ortiva, did not seem to reduce it substantially. In addition, the work describes the individual effect of each fungicide applied on both, foliage and soil. Se han evaluado 25 fungicidas comerciales usados comúnmente en agricultura, sobre dos especies de hongos formadores de micorriza arbuscular (HMA) presentes en productos comerciales de ATENS, S.L (Glomus intraradices (Schenck & Smith), y Glomus mosseae [(Nicol. & Gerd.) Gerdemann & Trappe], en simbiosis con las raíces de plántulas de puerro. Tanto los fungicidas sistémicos (Aliette, Beltanol, Caddy 10, Forum, Moncut, Ortiva, Previcur, Ridomil Gold MZ, Ridomil Gold SL, Rubigan, Sinthane, Stroby, Swich, Tachigarem, Teldor, Topas 10 EC y Frupica) como los no sistémicos (Daconil 75%, Ditiver, Euparem, INACOP, Octagón, Parmex, Terrazole y Metaram), comenzaron a aplicarse al suelo y a las hojas de las plantas, 4 semanas después del trasplante e inoculación con HMA, usando las dosis y frecuencias recomendadas por el fabricante. Se compararon los efectos de los compuestos fungicidas por medio del análisis de la colonización micorrícica de las raíces en plantas tratadas y no tratadas. Los fungicidas ensayados con aplicación recomendada al suelo: Octagón, Ditiver, Parmex y Metaram, eliminaron prácticamente la simbiosis micorriza en las plantas tratadas. Sin embargo, la micorriza no sufrió ningún tipo de afectación con los tratamientos dirigidos a suelo de Beltanol, INACOP y Previcur. Tres de los fungicidas de aplicación recomendadas por vía foliar: Rubigan, Frupica y Sinthane, inhibieron fuertemente la colonización micorrícica, a diferencia de Aliette, Forum, Teldor, Swich y Ortiva, que no parecen inhibirla de manera substancial. Se describe además en el trabajo el efecto individual de cada fungicida, aplicado tanto a nivel foliar como de suelo