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Given a relative faithfully flat pointed scheme over the spectrum of a discrete valuation ring $X\rightarrow S$, this paper is motivated by the study of the natural morphism from the fundamental group scheme of the generic fiber... more
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Let $S$ be a Dedekind scheme, $X$ a connected $S$-scheme locally of finite type and $x\in X(S)$ a section. The aim of the present paper is to establish the existence of the fundamental group scheme of $X$, when $X$ has reduced fibers or... more
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Let $X:=\mathbb{A}_{R}^{n}$ be the $n$ -dimensional affine space over a discrete valuation ring $R$ with fraction field $K$ . We prove that any pointed torsor $Y$ over $\mathbb{A}_{K}^{n}$ under the action of an affine finite-type group... more
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Le but de ce memoire est de presenter les grandes lignes de mon travail dans les annees qui ont suivi ma these de doctorat. J'ai choisi de regrouper mes travaux par themes falsifiant donc un peu l'ordre chronologique. La facon... more
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Annual simulation is a significant indicator of a daylight redirecting component’s performance, since it accounts for seasonal variations in daylight availability as well as the system’s response under such conditions. This study details... more
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      RaytracingPhoton MappingDaylight Simulation