English

Cycle modules and the intersection A-infinity algebra

Algebraic Geometry 2009-06-30 v1 K-Theory and Homology

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.

Keywords

Cite

@article{arxiv.0906.5102,
  title  = {Cycle modules and the intersection A-infinity algebra},
  author = {Florian Ivorra},
  journal= {arXiv preprint arXiv:0906.5102},
  year   = {2009}
}

Comments

37 pages

R2 v1 2026-06-21T13:18:36.526Z