Francisco Paraguay Delgado

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We prove two formulae that express the Alexander polynomial C of several variables of a plane curve singularity C in terms of the ring O C of germs of analytic functions on the curve. One of them expresses C in terms of dimensions of some factors corresponding to a (multi-indexed) filtration on the ring O C. The other one gives the coefficients of the(More)
In this work, an illumination interference reduction technique for visible light communications (VLC) is presented. In this kind of systems an optical wireless communication is established using visible light wavelength, therefore optical filtering for interference rejection can not be employed. Instead of the optical filtering a signal processing based(More)
This study evaluated the differentially modulated expression of vascular mediators in oocyte donors after hCG vs. GnRHa triggering, trying to understand ovarian hyperstimulation syndrome pathophysiology. Donors who received GnRH agonist triggering showed a statistically significant decrease in vascular endothelial growth factor in follicular fluid and in(More)
A highly efficient and regioselective synthesis of 1,2-dihydroquinolines via a multicomponent reaction between an aniline and two ketones is described. This reaction was catalyzed by magnesium bromide and carried out under solvent-free conditions. When the reaction was performed by using 3-substituted anilines and nonsymmetrically substituted ketones,(More)
Integrals with respect to the Euler characteristic over spaces of functions and the Alexander polynomial. Recently there were obtained some formulae which express the Alexan-der polynomial (and thus the zeta-function of the classical monodromy transformation) of a plane curve singularity in terms of the ring of functions on the curve: [10]. One of them(More)
Calcium channel blockers are widely used in therapy for hypertension and angina pectoris, and among these blockers some 1,4-dihydropyridines (e.g. amlodipine, nitrendipine and nifedipine) have had widespread clinical use. In this work we investigated the vascular effects of four bis-1,4-dihydropyridines (bis-DHPs: 01-04), structurally related to nifedipine,(More)
Let a finite group G act on the complex plane (C 2 , 0). We consider multi-index filtrations on the spaces of germs of holomorphic functions of two variables equivariant with respect to 1-dimensional representations of the group G defined by components of a modification of the complex plane C 2 at the origin or by branches of a G-invariant plane curve(More)
Infrared irradiation promoted the Diels-Alder cycloadditions of exo-2-oxazolidinone dienes 1-3 with the Knoevenagel adducts 4-6, as dienophiles, leading to the synthesis of new 3,5-diphenyltetrahydrobenzo[d]oxazol-2-one derivatives (7, 9, 11 and 13-17), under solvent-free conditions. These cycloadditions were performed with good regio- and(More)
A simple green approach for the production of benzylideneaniline oxides is offered. This contribution was performed via the condensation of phenylhydroxylamine with several aryl aldehydes, in the absence of both catalyst and solvent, and using microwave irradiation as the activating reaction mode. In addition, good yields of the products were achieved in a(More)
We give two formulae which express the Alexander polynomial ∆ C of several variables of a plane curve singularity C in terms of the ring O C of germs of analytic functions on the curve. One of them expresses ∆ C in terms of dimensions of some factorspaces corresponding to a (multi-indexed) filtration on the ring O C. The other one gives the coefficients of(More)