Renaissance, as it appears through art, architecture, literature, music, dance, anatomy, and much else besides. The subject is vast, and there are thirty-three separate contributions to the volume, together with an introduction by Andre Chastel and a masterful synthesis of the many and complex themes of the conference by Marie-Madeleine Fontaine. It is impossible to do it full justice here, and...

Let r and p be distinct prime numbers, let K = Q(cos 2π r ), and let F be the residue field of K at a place above p. When the image of (2 − 2 cos 2π r ) in F is not a square, we describe a geometric construction of a regular extension of K(t) with Galois group PSL2(F). This extension corresponds to a covering of P/K of “signature (r, p, p)” in the sense of [3, sec. 6.3], and its existence is pr...

Poursuivant une s erie d'articles sur le calcul de formes normales de matrices, nous nous int eressons ici a la complexit e parall ele du calcul de transformations associ ees. Pour une matrice B de Mn;n(K), o u K est un corps commutatif, nous d emontrons que le probl eme de calculer une matrice de transformation P telle que F = P ?1 BP soit sous forme normale de Frobenius, est dans NC 2 K. Nous...

additional transportation lift requirements, the United States Marine Corps developed a concept that enabled it to modify a commercial container ship to support deployed aviation units. However, a problem soon emerged in that there were too few people who were expert enough to do the unique type of planning required for this ship. Additionally, once someone did develop some expertise, it was ti...

— In this paper we show how to recover a special class of valuations (which generalize in a natural way the Zariski prime divisors) of function fields from the Galois theory of the functions fields in discussion. These valuations play a central role in the birational anabelian geometry and related questions. Résumé (Théorie de Galois pro-` des diviseurs premiers de Zariski) Dans cet article nou...

BY Major M. A. C. DOWLING, M.R.C.S., D.P.H., D.T.M.&H. Royal Army Medical Corps AND R. D. HUGHES, Ph.D., B.Se. Formerly Lieutenant, Royal Army Medical Corps INTRODUCTION FOLLOWING the occurrence of a number of cases of malaria in naval personnel who had been ashore at Pulau Tioman, a survey of the island was carried out on 29th June, 1955, on behalf of the Royal Navy and with the consent of the...