Nicole Cancré,* Gérard Grésenguet,† François-Xavier Mbopi-Kéou, ‡Alain Kozemaka,† Ali Si Mohamed,* Mathieu Matta,* Jean-Jacques Fournel,§ and Laurent Bélec* *Université Pierre et Marie Curie, Hôpital Broussais, Paris, France; †Centre National de Transfusion Sanguine, Bangui, République Centrafricaine; ‡London School of Hygiene and Tropical Medicine, London, United-Kingdom; and §Hôpital de la Pi...

Let T (S) be the Teichmüller space of an oriented surface S of finite type. We discuss the action of subgroups of the mapping class group of S on the CAT(0)-boundary of the completion of T (S) with respect to the Weil-Petersson metric. We show that the set of invariant Borel probability measures for the Weil-Petersson flow on moduli space which are supported on a closed orbit is dense in the sp...

In this paper we investigate the 2-Selmer rank in families of quadratic twists of elliptic curves over arbitrary number fields. We give sufficient conditions on an elliptic curve so that it has twists of arbitrary 2-Selmer rank, and we give lower bounds for the number of twists (with bounded conductor) that have a given 2-Selmer rank. As a consequence, under appropriate hypotheses we can find m...

In [12] and [13], Silverman discusses the problem of bounding the Mordell-Weil ranks of elliptic curves over towers of function fields. We first prove generalizations of the theorems of those two papers by a different method, allowing non-abelian Galois groups and removing the dependence on Tate’s conjectures. We then prove some theorems about the growth of Mordell-Weil ranks in towers of funct...

Rare Dis 2007;2:32. 2. Superti-Furga A, Gugler E, Gitzelmann R, Steinmann B. Ehlers-Danlos syndrome type IV: A multi-exon deletion in one of the two COL3A1 alleles affecting structure, stability, and processing of type III procollagen. J Biol Chem 1988;263:6226-32. 3. Tsipouras P, Byers PH, Schwartz RC, Chu ML, Weil D, Pepe G, et al. Ehlers-Danlos syndrome type IV: Cosegregation of the phenotyp...

In this paper we study the systole function along WeilPetersson geodesics. We show that the square root of the systole function is uniform Lipschitz on the Teichmüller space endowed with the Weil-Petersson metric. The inradius of a metric space is the largest radius of metric balls contained in the interior of the metric space. As applications of the result above, we study the growth of the Wei...

For an elliptic curve E over any field K, the Weil pairing en is a bilinear map on n-torsion. For K of characteristic p > 0, the map en is degenerate if and only if n is divisible by p. In this paper, we consider E over the dual numbers K[ǫ] and define a non-degenerate “Weil pairing on ptorsion” which shares many of the same properties of the Weil pairing. We also show that the discrete logarit...

OBJECTIVE To study the relationship of Weil-Felix test and microimmunofluorescence test. METHODS Sera of 21 patients with clinical diagnosis of scrub typhus were subjected to Weil-Felix and Microimmunofluorescence tests. RESULTS On Weil-Felix test, 13 (62%) sera showed titers 1: > or = 40-320. 7 patients showed titers 1: > or = 320, 3 showed titers 1 : 160, 2 showed titers 1 : 80 and 1 pati...

In this paper, we continue our study of the Weil-Petersson geometry as in the previous paper [10], in which we have proved the boundedness of the Weil-Petersson volume, among the other results. The main results of this paper are that the volume and the integrations of Ricci curvature of the Weil-Petersson metric on the moduli space are rational numbers. In particular, the Ricci curvature define...