From holonomy of the Ising model form factors to -fold integrals and the theory of elliptic curves.
From non-Kählerian surfaces to Cremona group of P 2 (C)
For any minimal compact complex surface S with n = b2(S) > 0 containing global spherical shells (GSS) we study the effectiveness of the 2n parameters given by the n blown up points. There exists a family of surfaces S → B with GSS which contains as fibers S, some Inoue-Hirzebruch surface and non minimal surfaces, such that blown up points are generically effective parameters. These families are versal outside a non empty hypersurface T ⊂ B. We deduce that, for any configuration of rational curves,...
Fronces et doubles plis
Front d'onde et propagation des singularités pour un vecteur-distribution
We define the wave front set of a distribution vector of a unitary representation in terms of pseudo-differential-like operators [M2] for any real Lie group G. This refines the notion of wave front set of a representation introduced by R. Howe [Hw]. We give as an application a necessary condition so that a distribution vector remains a distribution vector for the restriction of the representation to a closed subgroup H, and we give a propagation of singularities theorem for distribution vectors.
Frontière d'une hypersurface pfaffienne
Frontière d'une hypersurface pfaffienne et géométrie sous-analytique
Nous donnons une nouvelle démonstration d'un théorème de Cano-Lion-Moussu: la frontière d'une hypersurface pfaffienne non spiralante est une réunion localement finie de sous-variétés analytiques connexes.
Frontières analytiques dans le disque unité d'un corps valué non archimédien complet et algébriquement clos
Fronts d'onde à l'infini des fonctions analytiques réelles
En adaptant les méthodes algébriques et géométriques qu’utilisent M. Sato, T. Kawai et M. Kashiwara pour obtenir le faisceau des microfonctions, nous construisons de manière fonctorielle, donc intrinsèque, un faisceau sur la sphère cotangente à un espace vectoriel réel de dimension finie . Les sections de ce faisceau jouent vis-à-vis des fonctions analytiques sur un rôle analogue à celui des microfonctions vis-à-vis des hyperfonctions. Nous en déduisons une notions de front d’onde à l’infini...
Fuchsian groups and uniformization of Hurwitz spaces.
Function germs defined on isolated hypersurface singularities
Function spaces on the Olśhanskiĭsemigroup and the Gel'fand-Gindikin program
For the scalar holomorphic discrete series representations of and their analytic continuations, we study the spectrum of a non-compact real form of the maximal compact subgroup inside . We construct a Cayley transform between the Ol’shanskiĭ semigroup having as Šilov boundary and an open dense subdomain of the Hermitian symmetric space for . This allows calculating the composition series in terms of harmonic analysis on . In particular we show that the Ol’shanskiĭ Hardy space for is different...
Functional Banach spaces of holomorphic functions on Reinhardt domains
Functional calculus and the Gelfand transformation
Fundamental group of locally symmetric varieties.
Fundamental solutions of the complex Monge-Ampère equation
We prove that any positive function on ℂℙ¹ which is constant outside a countable -set is the order function of a fundamental solution of the complex Monge-Ampère equation on the unit ball in ℂ² with a singularity at the origin.
Funktionetheoretische Hilfsmittel in der Theorie der kommutativen Banach-Algebren.
Funtorialità di una classe di domini -Runge