Fibrés vectoriels semi-stables sur une courbe de Mumford.
Fibrés vectoriels spéciaux
Fibrés vectoriels sur les courbes elliptiques
Fibrés vectoriels topologiques de rang élevé sur une hypersurface
Field of moduli versus field of definition for cyclic covers of the projective line
We give a criterion, based on the automorphism group, for certain cyclic covers of the projective line to be defined over their field of moduli. An example of a cyclic cover of the complex projective line with field of moduli that can not be defined over is also given.
Fields of definition for some Hodge cycles.
Fields of definition of algebraic varieties in characteristic zero
Fields of definition of -curves
Let be a -curve with no complex multiplication. In this note we characterize the number fields such that there is a curve isogenous to having all the isogenies between its Galois conjugates defined over , and also the curves isogenous to defined over a number field such that the abelian variety Res obtained by restriction of scalars is a product of abelian varieties of GL-type.
Fields of Large Transcendence Degree Generated by Values of Elliptic Functions.
Fields of moduli of three-point -covers with cyclic -Sylow, II
We continue the examination of the stable reduction and fields of moduli of -Galois covers of the projective line over a complete discrete valuation field of mixed characteristic , where has a cyclic-Sylow subgroup of order . Suppose further that the normalizer of acts on via an involution. Under mild assumptions, if is a three-point -Galois cover defined over , then the th higher ramification groups above for the upper numbering of the (Galois closure of the) extension vanish,...
Fields with analytic structure
Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups
We provide partial results towards a conjectural generalization of a theorem of Lubotzky-Mozes-Raghunathan for arithmetic groups (over number fields or function fields) that implies, in low dimensions, both polynomial isoperimetric inequalities and finiteness properties. As a tool in our proof, we establish polynomial isoperimetric inequalities and finiteness properties for certain solvable groups that appear as subgroups of parabolic groups in semisimple groups, thus generalizing a theorem of Bux....
Filtrable bundles of rank 2 on Hopf surfaces.
Filtration par le poids et monodromie entière
Filtration par le poids sur la cohomologie de de Rham d'une courbe projective non singulière sur un corps ultramétrique complet
Filtration Patterns for Representations of Algebraic Groups and Their Frobenius Kernels.
Filtrations de Hodge et par l'ordre du pôle pour les hypersurfaces singulières
Filtrations of cohomology modules for Chevalley groups
Filtrations of -modules
Filtrations of meromorphic C* actions on complex manifolds.