Cycle modules and the intersection A-infinity algebra

Details Cycle modules and the intersection A-infinity algebra Cycle modules and the intersection A-infinity algebra

2009-06-27

arxiv.org/abs/0906.5102v1

Mathematics

Algebraic Geometry

37 pages

Scientific paper

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.

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