Fibré déterminant et courbes relatives
Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta. II
Fibrés quadratiques et composantes connexes réelles.
Fibres vectoriels homogenes sur les varietes abeliennes qui sont des tores analytiques (rigides).
Filtrations of -modules
Finite orbit decomposition of real flag manifolds
Let be a connected real semi-simple Lie group and a closed connected subgroup. Let be a minimal parabolic subgroup of . It is shown that has an open orbit on the flag manifold if and only if it has finitely many orbits on . This confirms a conjecture by T. Matsuki.
Finiteness of cominuscule quantum -theory
The product of two Schubert classes in the quantum -theory ring of a homogeneous space is a formal power series with coefficients in the Grothendieck ring of algebraic vector bundles on . We show that if is cominuscule, then this power series has only finitely many non-zero terms. The proof is based on a geometric study of boundary Gromov-Witten varieties in the Kontsevich moduli space, consisting of stable maps to that take the marked points to general Schubert varieties and whose domains...
Finiteness of local fundamental groups for quotients of affine varieties under reductive groups.
Finiteness results for Abelian tree models
Equivariant tree models are statistical models used in the reconstruction of phylogenetic trees from genetic data. Here equivariant§ refers to a symmetry group imposed on the root distribution and on the transition matrices in the model. We prove that if that symmetry group is Abelian, then the Zariski closures of these models are defined by polynomial equations of bounded degree, independent of the tree. Moreover, we show that there exists a polynomial-time membership test for that Zariski closure....
Fixed points for reductive group actions on acyclic varieties
Let be a smooth, affine complex variety, which, considered as a complex manifold, has the singular -cohomology of a point. Suppose that is a complex algebraic group acting algebraically on . Our main results are the following: if is semi-simple, then the generic fiber of the quotient map contains a dense orbit. If is connected and reductive, then the action has fixed points if .
Flag Manifolds and the Hook Formula.
Flag manifolds and the Landweber-Novikov algebra.
Fonction zêta associée à la série principale sphérique de certains espaces symétriques
Fonctions d'Igusa p-adiques, polynômes de Bernstein, et polyèdres de Newton.
Fondements de la géométrie algébrique. Commentaires
Footnotes to a Paper of Beniamino Segre. The Number of g1d's on a General d-Gonal Curve, and the Unirationality of the Hurwitz Spaces of 4-Gonal and 5-Gonal Curves.
Formal functions on homogeneous spaces.
Formale Geometrie und homogene Räume.
Formes d'inertie et complexe de Koszul associés à des polynômes plurihomogènes.
The existence of common zero of a family of polynomials has led to the study of inertial forms, whose homogeneous part of degree 0 constitutes the ideal resultant. The Kozsul and Cech cohomologies groups play a fundamental role in this study. An analogueous of Hurwitz theorem is given, and also, one finds a N. H. McCoy theorem in a particular case of this study.
Formes quadratiques multiplicatives et variétés algébriques