Showing papers in "Duke Mathematical Journal in 1984"
TL;DR: In this paper, a connected reductive group G over a number field F is considered, and the elliptic regular part of the trace formula for G is written as a linear combination of elliptic G-regular parts of the stable trace formulas for the elliptIC endoscopic groups H of G. The function f f/ used in H is obtained from the function f used in G by transferring orbital integrals.
Abstract: Consider a connected reductive group G over a number field F. For technical reasons we assume that the derived group of G is simply connected (see [L1]). in [L3] Langlands partially stabilizes the trace formula for G. After making certain assumptions, he writes the elliptic regular part of the trace formula for G as a linear combination of the elliptic G-regular parts of the stable trace formulas for the elliptic endoscopic groups H of G. The function f/ used in the stable trace formula forH is obtained from the function f used in the trace formula for G by transferring orbital integrals.
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TL;DR: In this paper, the possibilite de prescrire les deformations principales de la deformation finie d'un milieu elastique is presented, prouve l'existence de coordonnees orthogonales locales sur des varietes riemaniennes tridimensionnelles.
Abstract: On montre la possibilite de prescrire les deformations principales de la deformation finie d'un milieu elastique. On prouve l'existence de coordonnees orthogonales locales sur des varietes riemaniennes tridimensionnelles
TL;DR: In this article, the authors give families of surfaces of general type X with pg=0, K2=l, π=Z4 and πX =l.
Abstract: We give families of examples of surfaces of general type X with pg=0, K2=1 double covered by surfaces T with pg=0, K2=2.
In Chapter 2 we classify all such constructions with |π(T)|=8, giving 4-parameter families of surfaces X for which π(X)=Z2 and Z4. There is a complete description of surfaces with pg=0, K2=l, π=Z4 in [Rl]. There was one example S with H(S,Z)=Z2 in [0&P]. The most interesting construction is the one in Chapter 3, for which πX={l}. This answers negatively the following question "are all simply connected surfaces with pg=0 K2>0 rational" coming from Severi's conjecture.
These constructions were motivated by Reid's conjecture that if a given fundamental group H occurs, there should be examples X=T/Z2 with π(X)=H.
In the Appendix we give an alternative proof of a formula for the arithmetic genus of a quotient surface, based on a remark of Hirzebruch.
TL;DR: In this paper, a mesure d'espace de chemin denombrablement additive a valeur matricielle N×N V t,x 0 sur l'space de Banach C([0,t]; R d ) des chemins continus X:[0, t]→R d
Abstract: On considere l'approche integrale de parcours pour un systeme hyperbolique N×N d'ordre 1. Pour chaque (t,x)∈[0,t]XR d fixe, on construit une mesure d'espace de chemin denombrablement additive a valeur matricielle N×N V t,x 0 sur l'espace de Banach C([0,t]; R d ) des chemins continus X:[0,t]→R d