5 papers
Uniformisation des surfaces de Riemann
Alexis Marin, Dorothea Vienne-Pollak
A proof of the uniformization theorem of Riemann surface is given with only elementary properties of holomorphic functions and not using the paracompacity of the surface. This proo…
, les tresses à trois brins, le tore modulaire et
Alexis Marin
The action of on the integer torus and its quotient by central symmetry and Artin's presentation of three strings braid group , produces a presentation with…
C'est un petit val qui mousse de fonctions
Alexis Marin
Easy lowering local minima, after introducing valley functions on smooth manifolds gives, without gluing technicities, "M. Morse's lemma's" canonical form, moving critical values a…
Algèbre linéaire
Alexis Marin
After the language of module and theirs morphisms, this short course presents matricial calculus and determinants in a commutative ring as appliction of ``remarquable identities''…
Une remarque sur l'invariant de Arf
Alexis Marin
An alternative construction, using Witt's formalism, of the Arf-invariant of quadratic forms in characteristic 2.