Factorialite de l΄algebre affine de certaines formes quadratiques
Factoring biquadratic maps on modules.
Factorisation is not unique for higher dimensional knots.
Faithfully quadratic rings - a summary of results
This is a summary of some of the main results in the monograph Faithfully Ordered Rings (Mem. Amer. Math. Soc. 2015), presented by the first author at the ALANT conference, Będlewo, Poland, June 8-13, 2014. The notions involved and the results are stated in detail, the techniques employed briefly outlined, but proofs are omitted. We focus on those aspects of the cited monograph concerning (diagonal) quadratic forms over preordered rings.
Fibrés algébriques sur une surface réelle.
Fibrés quadratiques et composantes connexes réelles.
Fields of characteristic 2 with prescribed u-invariants.
Fields of Cohomological 2-Dimension Three.
Fields with non-trivial Kaplansky's radical and finite square class number
Fields with Prescribed Quadratic Form Schemes.
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....
Finite Knot Modules and the Factorization of Certain Simple Knots.
Finite subgroups of .
Finiteness properties of soluble arithmetic groups over global function fields.
Finiteness theorems for forms over global fields.
Finitude du nombre des classes d'isomorphisme des structures isométriques entières.
Five regular or nearly-regular ternary quadratic forms
1. Introduction. In a recent article [6], the positive definite ternary quadratic forms that can possibly represent all odd positive integers were found. There are only twenty-three such forms (up to equivalence). Of these, the first nineteen were proven to represent all odd numbers. The next four are listed as "candidates". The aim of the present paper is to show that one of the candidate forms h = x² + 3y² + 11z² + xy + 7yz does represent all odd (positive) integers, and that it is regular in...
Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner
Nous exprimons certaines séries d’Epstein normalisées en comme combinaisons linéaires de dilogarithmes de Bloch-Wigner en des nombres algébriques des corps pour les discriminants associés à la forme quadratique.
Formally real fields, pythagorean fields, C-fields and W-groups.
Formation d'un cube entier qui soit égal à la somme de quatre cubes entiers