Un module inversible associé au ruban de Möbius, et quelques autres

Daniel Ferrand (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

After attaching explicitly to the Möbius strip an invertible module over the ring of real polynomial functions on the real circle, we expound as directly as possible the many faces and the main algebraic properties of invertible modules. The goal is to make this algebraic concept accessible to a wide mathematical audience.

Mots clés: Möbius strip; line bundle; invertible module; binary quadratic form

Domaines: Algèbre commutative [math.AC]

Daniel Ferrand. Un module inversible associé au ruban de Möbius, et quelques autres. 2007. ⟨hal-00142445⟩