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Motivic cohomology of fat points in milnor range

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Park, Jinhyun

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We introduce a new algebraic-cycle model for the motivic cohomology theory of truncated polynomials k[t]/(t(m)) in one variable. This approach uses ideas from the deformation theory and non-archimedean analysis, and is distinct from the approaches via cycles with modulus. We prove that the groups in the Milnor range give the Milnor K-groups of k[t]I/(t(m)), when the base field is of characteristic 0. Its relative part is the sum of the absolute Kahler differential forms.

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Deutsche Mathematiker-Vereinigung (DMV)

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Mathematics

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Documenta Mathematica

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