On p-adic differential equations on semistable varieties II

This is the author accepted manuscript. The final version is available from Springer Verlag via the DOI in this record.This paper is a complement to the paper "On p-adic differential equations on semistable varieties" written by V. Di Proietto. Given an open variety over a DVR with semistable reduction, the author constructed in that paper a fully faithful algebraization functor from the category of certain log overconvergent isocrystals on the special fiber to the category of modules with regular integrable connection on the generic fiber. In this paper, we prove that, with convenable hypothesis, this functor is a tensor functor whose essential image is closed under extensions and subquotients. As a consequence, we can find suitable Tannakian subcategories of log overconvergent isocrystals and of modules with regular integrable connection on which the algebraization functor is an equivalence of Tannakian categories.The main part of this work was done when the first author was at the Graduate School of Mathematical Sciences of the University of Tokyo supported by a postdoctoral fellowship and kaken-hi (grant-in-aid) of the Japanese Society for the Promotion of Science (JSPS). She is now supported by a postdoctoral fellowship of Labex IRMIA.When the main part of this work was done, the second author was supported by JSPS Grant-in-Aid for Young Scientists (B) 21740003 and Grant-in-Aid for Scientific Research (B) 22340001. Currently he is supported by JSPS Grant-in-Aid for Scientific Research (C) 25400008 and Grant-in-Aid for Scientific Research (B) 23340001

On the homotopy exact sequence for log algebraic fundamental groups

This is the final published version.An earlier version of this paper appears in arXiv and is available in ORE at http://hdl.handle.net/10871/26921The final version is available from Documenta Mathematica via the DOI in this record.We construct a log algebraic version of the homotopy sequence for a quasi-projective normal crossing log variety over a log point of characteristic zero and prove some exactness properties of it. Our proofs are purely algebraic

Oxidation of organics in water by active chlorine performed in microfluidic electrochemical reactors: a new way to improve the performances of the process

Wastewater polluted by organics can be treated by using electro-generated active chlorine, even if this promising route presents some important drawbacks such as the production of chlorinated by-products. Here, for the first time, this process was studied in a microfluidic electrochemical reactor with a very small inter-electrode distance (145 μm) using a water solution of NaCl and phenol and a BDD anode. The potential production of chloroacetic acids, chlorophenols, carboxylic acids, chlorate and perchlorate was carefully evaluated. It was shown, for the first time, up to our knowledge, that the use of the microfluidic device allows to perform the treatment under a continuous mode and to achieve higher current efficiencies and a lower generation of some important by-products such as chlorate and perchlorate. As an example, the use of the microfluidic apparatus equipped with an Ag cathode allowed to achieve a high removal of total organic carbon (about 76%) coupled with a current efficiency of 17% and the production of a small amount of chlorate (about 30 ppm) and no perchlorate. The effect of many parameters (namely, flow rate, current density and nature of cathode) was also investigated

Electrochemical remediation of phenol contaminated kaolin under low-strength electric fields

Soil degradation is a global concern. Electrochemical remediation (ER) technology is considered an appealing strategy for soil remediation because it is a low-cost, adaptable, and effective noninvasive in situ technology. Currently, the remediation of soil characterized by fine grains, low-hydraulic permeability, heterogeneous conditions, and mixtures of contaminants is still challenging since other conventional technologies are poorly effective. ER of soil is based on the application of low potentials between a couple of electrodes which induces an electric field (E) in the contaminated field. In this work, very low values of electric field (E ≤ 0.25 V cm−1) were used for the ER of contaminated kaolin. Phenol was selected as model hazardous organic compound and kaolin as model, reproducible and low buffering and low permeability clay. The effect of several factors, including the nature of the electrodes, treatment time, kind of current, the strength of the E and the nature of supporting electrolyte, on the performance of the process was investigated in detail and discussed in terms of the normalized phenol concentration and its total removal from the kaolin. Overall, the main finding is that the use of very low value of E (0.15 V cm−1) can allow to simultaneously desorb, mobilize and also in-situ degrade phenol. The highest removals of phenol up to approximately 80% and 90% from the kaolin under both direct and sinusoidal E, respectively, were reached using compact graphite as electrodes in presence of Na2SO4 into the kaolin

Comprehensive genetic assessment of the ESR1 locus identifies a risk region for endometrial cancer

Excessive exposure to estrogen is a well-established risk factor for endometrial cancer (EC), particularly for cancers of endometrioid histology. The physiological function of estrogen is primarily mediated by estrogen receptor alpha, encoded by ESR1. Consequently, several studies have investigated whether variation at the ESR1 locus is associated with risk of EC, with conflicting results. We performed comprehensive fine-mapping analyses of 3633 genotyped and imputed single nucleotide polymorphisms (SNPs) in 6607 EC cases and 37 925 controls. There was evidence of an EC risk signal located at a potential alternative promoter of the ESR1 gene (lead SNP rs79575945, P=1.86x10(-5)), which was stronger for cancers of endometrioid subtype (P=3.76x10(-6)). Bioinformatic analysis suggests that this risk signal is in a functionally important region targeting ESR1, and eQTL analysis found that rs79575945 was associated with expression of SYNE1, a neighbouring gene. In summary, we have identified a single EC risk signal located at ESR1, at study-wide significance. Given SNPs located at this locus have been associated with risk for breast cancer, also a hormonally driven cancer, this study adds weight to the rationale for performing informed candidate fine-scale genetic studies across cancer types

Electrochemical remediation of kaolin-soil contaminated by phenol: effect of several operative parameters

Electrochemical remediation technology is considered an appealing strategy for the remediation of fine- grained soils, characterized by a low hydraulic conductivity and large specific surface area, contaminated with inorganic, organic, and mixed pollutants. In both Electrokinetic (EK) and Electrochemical Geo-Oxidation (ECGO) technologies, an electric field is imposed on the contaminated soil to remove the pollutants by the combined mechanisms of electroosmosis, electromigration, and/or electrophoresis. Moreover, ECGO uses low voltage and both direct and alternating amperage (DC/AC) applied in a proprietary series to induce reduction-oxidation reactions on soil surfaces at the micro-scale. According to the literature, in this method, each soil particle acts as a micro-capacitor that charges and discharges in a cyclic fashion. The energy burst on discharge at the micro-scale is intense, theoretically allowing the conversion of most organic contaminants to carbon dioxide and water near the conducting particle surface [2-4]. However, the effectiveness of the technology strongly depends on the physical-chemical states of the soils and the contaminants, pH, sorption of contaminants on soil particle surfaces and different effects induced by the hydrogen ions and hydroxide ions generated at the electrodes. In this work, the effect of several factors, including the intensity and mode of the applied electric field, duration of treatment, nature of supporting electrolytes, on the electrochemical remediation of kaolin-soil contaminated by phenol (200 mgPhenol/kgsoil) was investigated. It was found that a proper selection of the operative parameters is the key- factor to improve the electrochemical remediation of the contaminated soil. High removal of phenol from the kaolin up to 88% was achieved after 93 hours of treatment using graphite electrodes and a gradient electric field of 0.15 V cm-1. [1] A. T. Yeung et al. J. Hazard. Mater. 2011, 195, 11 [2] D. Rahner et al. Electrochim. Acta 2002, 47, 1395 [3] J. Röhrs et al. Electrochim. Acta 2002, 47, 1405 [4] L.M. Zanko et al. Electrochim. Acta 2020, 354, 13669

Solar heat for the decarbonization of chemical industry: dehydrogenation of ethylbenzene to styrene driven by a concentrating solar power plant with molten salts as heat transfer fluids

The dehydrogenation of ethylbenzene to styrene was used as a model of an energy intensive endothermic process to assess the economic sustainability of the utilization of solar heat from a concentrating solar power (CSP) plant to decarbonize an industrial chemical processes. To this purpose a process configuration compatible with the hybridization with a CSP plant using a binary mixture NaNO3/KNO3, 60/40 w/w as heat transfer fluid (HTF) was selected. The adopted chemical reactor is a shell and tube bundle converter with 30000 tubes of 6 m length and 0.025 m inside diameter that approaches isothermal regime with a productivity of 103 kT/year of styrene if a flowrate of 200 kg/s of molten salt at 560 °C are fed to the shell. The residual enthalpy of the HTF leaving the dehydrogenation reactor was further injected in the process by vaporizing and pre-heating ethylbenzene and dilution water. A cash flow analysis of the hybridized plant was performed considering solar field of increasing size so that the required solar power of 45 MW can be supplied for longer period of the year. We found that a CSP plant of 70 collectors can decrease CO2 emissions of about 50 % with a rate of return on investment (ROROI) of 9.1 % for the solar field of the hybridized plant and can grant 410 k€/year of economic benefit arising from the methane and the lower emissions of CO2. This study demonstrates that solar heat can be used to decarbonize energy intensive endothermic chemical processes without economic penalty for the plant profitability