The plaque control index: A practical method of assessing the effectiveness of oral hygiene procedures

P

Twistor lines in the period domain of complex tori

As in the case of irreducible holomorphic symplectic manifolds, the period domain $Compl$ of compact complex tori of even dimension $2n$ contains twistor lines. These are special $2$-spheres parametrizing complex tori whose complex structures arise from a given quaternionic structure. In analogy with the case of irreducible holomorphic symplectic manifolds, we show that the periods of any two complex tori can be joined by a {\em generic} chain of twistor lines. We also prove a criterion of twistor path connectivity of loci in $Compl$ where a fixed second cohomology class stays of Hodge type (1,1). Furthermore, we show that twistor lines are holomorphic submanifolds of $Compl$, of degree $2n$ in the Pl\"ucker embedding of $Compl$.Comment: 29 pages, 2 figures. Theorem 2 and Corollary 3 have been added in the new versio

Algebraicity of rational Hodge isometries of K3 surfaces

Consider any rational Hodge isometry \psi:H^2(S_1,\QQ)\rightarrow H^2(S_2,\QQ) between any two K\ ahler $K3$ surfaces $S_1$ and $S_2$. We prove that the cohomology class of $\psi$ in $H^{2,2}(S_1\times S_2)$ is a polynomial in Chern classes of coherent analytic sheaves over $S_1 \times S_2$. Consequently, the cohomology class of $\psi$ is algebraic whenever $S_1$ and $S_2$ are algebraic

Use of natural and homeopathic remedies in children ailments

In recent decades the use of CAM (Complementary and Alternative Medicine) has increased significantly, not only among adults but also in the pediatric population.  Perceived efficacy of homeopathic or natural treatments, fear of drug adverse effects, dissatisfaction with conventional medicine, and the need for more personal attention are the main reasons given by parents who treat their children with homeopathy.In the present paper the use of natural and homeopathic remedies  for the treatment of children ailments are considered. In particular we focus on minor disorders of early childhood with a major impact on the well-being of the whole family, namely infant colic, teething, upper respiratory tract infections (URTIs) and tonsillopharyngitis. The results of recent studies on homeopathic products for the treatment of these disorders are be presented and discussed

FAU N. et DE TREGLODE B. (dir.) (2018). Mers d’Asie du Sud-Est. Coopérations, intégration et sécurité

Issu de divers travaux de recherche en Asie du Sud-Est, cet ouvrage se compose de 12 chapitres, organisés en trois parties bien articulées. Nathalie Fau et Benoît de Tréglodé, respectivement Maîtresse de Conférences à l’Université Paris-Diderot rattachée au laboratoire CESSMA, et Directeur de recherche CNRS-EHESS à l’IRSEM et au Centre Asie du Sud-Est (CASE), ont réuni ici un mélange intriguant de cas d’études ancrés dans une région en construction, dont les contours sont régulièrement discut..