Cycle modules and the intersection A-infinity algebra

2009/06/27 by Florian Ivorra, Ivorra, Florian
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AG #math.KT

paper · pdf · doi:10.48550/arxiv.0906.5102

37 pages

arxiv created 2009/06/27 · arxiv updated 2009/12/01

Abstract

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.

Related

• Cycles and Commutative Algebra
• Degeneration of A-infinity modules
• Around the nearby cycle functor for arithmetic \mathscrD-modules
• Infinity Algebras and the Homology of Graph Complexes
• A_∞ Algebras and the Cohomology of Moduli Spaces