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ON THE TANGENT SPACE OF A WEIGHTED HOMOGENEOUS PLANE CURVE SINGULARITY
Canon, Mario Moran,Sebag, Julien Korean Mathematical Society 2020 대한수학회지 Vol.57 No.1
Let k be a field of characteristic 0. Let ${\mathfrak{C}}=Spec(k[x,y]/{\langle}f{\rangle})$ be a weighted homogeneous plane curve singularity with tangent space ${\pi}_{\mathfrak{C}}:T_{{\mathfrak{C}}/k}{\rightarrow}{\mathfrak{C}$. In this article, we study, from a computational point of view, the Zariski closure ${\mathfrak{G}}({\mathfrak{C}})$ of the set of the 1-jets on ${\mathfrak{C}}$ which define formal solutions (in F[[t]]<sup>2</sup> for field extensions F of k) of the equation f = 0. We produce Groebner bases of the ideal ${\mathcal{N}}_1({\mathfrak{C}})$ defining ${\mathfrak{G}}({\mathfrak{C}})$ as a reduced closed subscheme of $T_{{\mathfrak{C}}/k}$ and obtain applications in terms of logarithmic differential operators (in the plane) along ${\mathfrak{C}}$.
On the tangent space of a weighted homogeneous plane curve singularity
Mario Canon Mario,Julien Sebag 대한수학회 2020 대한수학회지 Vol.57 No.1
Let $k$ be a field of characteristic 0. Let $ \scr C=\Spec(k[x,y]/\langle f\rangle)$ be a weighted homogeneous plane curve singularity with tangent space $\pi_\scr C\colon T_{\scr C/k}\rightarrow \scr C$. In this article, we study, from a computational point of view, the Zariski closure $\scr G(\scr C)$ of the set of the 1-jets on $\scr C$ which define formal solutions (in $F[[t]]^2$ for field extensions $F$ of $k$) of the equation $f=0$. We produce Groebner bases of the ideal $\mathcal{N}_1(\scr C)$ defining $\scr G(\scr C)$ as a reduced closed subscheme of $T_{\scr C/k}$ and obtain applications in terms of logarithmic differential operators (in the plane) along $ \scr C$.
Multiple Chemical Sensitivity in Chemical Laboratory Workers
Perez-Crespo, Juan,Lobato-Canon, Rafael,Solanes-Puchol, Angel Occupational Safety and Health Research Institute 2018 Safety and health at work Vol.9 No.4
Background: Multiple Chemical Sensitivity (MCS) is an acquired disease which etiology remains unknown. It is characterized by the development of sensitivity to certain chemical products. Most of the hypotheses formulated to explain the syndrome associate it to a previous exposition to some kind of volatile chemical. University researchers in chemical laboratories suffer a phenomenon of multi-exposition to chemical agents at low concentration during long periods of time although in an irregular form. Many of these chemical agents have similar properties to those suspicious of causing MCS. This article studies the prevalence of MCS in laboratory researchers. Methods: The study group is university researchers in chemical laboratories. The control group was obtained from administrative personnel who work in the same universities and therefore, are not exposed to chemical products from the laboratories, but have the same exposition to the rest of environmental polluting agents from the area and from the buildings of the university. In this study, it is used the Quick Environmental Exposure and Sensitivity Inventory (QEESI) (sensitivity of 92%/specificity of 95%). Results: The results showed that the prevalence of MCS for the university researchers is not related to exposition by inhalation to multiple chemical agents, at low concentration. Conclusions: The results disagree with one of the main etiological hypotheses of MCS, which is based on the existence of hypersensitive people, who presents a response after prolonged expositions to very low concentrations during a long period of time.
Tobamovirus Coat Protein CPCg Induces an HR-like Response in Sensitive Tobacco Plants
Patricio Arce-Johnson,Nicole Ehrenfeld,Paola Canon,Claudia Stange,Consuelo Medina 한국분자세포생물학회 2005 Molecules and cells Vol.19 No.3
When inoculated into sensitive tobacco Xanthi-nn plants, the crucifer and garlic-infecting Tobacco mosaic virus (TMV-Cg) induces local necrotic lesions that resemble those seen in the hypersensitive response (HR) of resistant tobacco plants. However, unlike these, tobacco Xanthi-nn plants do not become resistant to infection and the virus spreads systemically causing a severe disease characterized by necrotic lesions throughout the plant. To identify the viral protein that elicits this necrotic response, we used a set of hybrid viruses constructed by combination of TMV-Cg and the tobacco mosaic virus strain U1 (TMV-U1). In this study we present evidence that the coat protein of TMV-Cg (CPCg) is the elicitor of the necrotic response in tobacco Xanthi-nn plants. Local and systemic necrotic lesions induced by TMV-Cg and by the hybrid U1-CPCg -that carries CPCg in a TMV-U1 context- are characterized by cell death and by the presence of autoflorescent phenolic compounds and H2O2, just like the HR lesions. In addition, defense-related genes and detoxifying genes are induced in tobacco Xanthi-nn plants after TMV-Cg and U1-CPCg inoculation. We postulate that in our system, CPCg is recognized by sensitive tobacco plants that mount an incomplete defense response. We call this an HR-like since it is not enough to induce plant resistance.