A naive construction of motivic tubular neighborhoods
(Un exposé de Marc Levine au séminaire de
théorie des nombres de Chevaleret le 13 juin 2005)
Résumé :
Works of Spitzweck, Voevodsky, Ayoub and Roendigs have defined
operations giving in particular an algebraic version of the classical
constructions of a tubular neighborhood, and a punctured tubular
neighborhood. We give another construction of tubular neighborhoods and
show
how this allows one to define algebraic invariants of the stable moduli
spaces of smooth curves, such as motivic cohomology or algebraic K-theory.