Cycle modules and the intersection A-infinity algebra

Florian Ivorra (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

Given a cycle module M with a ring structure we show that the cycle complex with coefficients in M of a smooth scheme of finite type over a field has a A-infinity algebra structure. In the case of Milnor K-theory this gives a homotopy model for the classical intersection theory of algebraic cycles.

Domaines: Géométrie algébrique [math.AG]; K-théorie et homologie [math.KT]

Florian Ivorra. Cycle modules and the intersection A-infinity algebra. Manuscripta mathematica, 2014, 144 (1-2), pp.165-197. ⟨10.1007/s00229-013-0645-7⟩. ⟨hal-00600418⟩