Chern classes from Morava K-theories to Chow groups

2016/05/14 by Pavel Sechin, Sechin, Pavel
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.1605.04444

openalex publication_date 2016/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we calculate the ring of unstable (possibly non-additive) operations from algebraic Morava K-theory K(n) to Chow groups with ℤ_(p)-coefficients. More precisely, we prove that it is a formal power series ring on generators c_i:K(n)→ CHⁱ ⊗ ℤ_(p), which satisfy a Cartan-type formula.

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