nLab Chow groups with modulus

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Idea

Chow groups with modulus are a non-homotopy invariant variant of Chow groups.

In the theory of motives one studies A^1-homotopy invariant phenomena, like higher Chow groups/motivic cohomology and homotopy invariant algebraic K-theory. It is expected that the various categories of motives can be embedded into larger ones which also contain non-homotopy invariant phenomena, like (honest) algebraic K-theory. (Higher) Chow groups with modulus are expected to play the role of higher Chow groups in these larger categories.

See also

References

Historical precursors

Last revised on September 12, 2015 at 13:13:25. See the history of this page for a list of all contributions to it.