The five exceptional simple Lie algebras over the complex number are included one within
the other as $\mathfrak {g} _2\subset\mathfrak {f} _4\subset\mathfrak {e} _6\subset\mathfrak …

Let FD KX/be the function field of a smooth projective curve over a p-adic field K. To each
rank one discrete valuation of F one may associate the completion Fv. Given an F-variety Y …

R.–Soit G un groupe algébrique linéaire semi-simple de type intérieur sur un corps F et soit
X un G-espace homogène projectif tel que le groupe G soit déployé sur le point générique …

In this paper, we consider a very useful and significant class of convex sets and convex
functions that is relative convex sets and relative convex functions which was introduced and …

This paper proves local-global principles for Galois cohomology groups over function fields
F of curves that are defined over a complete discretely valued field. We show in particular …

We give a streamlined proof of ${\mathbb A}^ 1$-representability for $ G $-torsors under"
isotropic" reductive groups, extending previous results in this sequence of papers to finite …

Ce livre porte sur la conjecture II de Serre en cohomologie galoisienne non abélienne des
groupes algébriques, énoncée en 1962. Cette conjecture est fortement liée à la …

Let G be a group of type E8 over Q such that GR is a compact Lie group, let K be a field of
characteristic 0, and q D hh1; 1; 1; 1; 1ii a 5-fold Pfister form. J.-P. Serre posed in a letter to …

SPLITTING FIELDS FOR E8-TORSORS Page 1 SPLITTING FIELDS FOR E8-TORSORS
BURT TOTARO Abstract We show that every algebraic group of type E8 over any field …

Shells of twisted flag varieties and the Rost invariant Page 1 SHELLS OF TWISTED FLAG
VARIETIES AND THE ROST INVARIANT S. GARIBALDI, V. PETROV, and N. SEMENOV …