Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 209-02. An integral degree-three Gersten counterexample
Manuscript map · lines 6125–6134
OpenAI@2026-10-07#rem:oai-p-209-02
Authors: OpenAI. Family 209.
Title: An integral degree-three Gersten counterexample.
Abstract: We construct a two-dimensional ramified regular local ring A in mixed characteristic $(0,5)$ for which the integral map $K_3(A){}to K_3({}mathop{{}mathrm{Frac}}{}nolimits A)$ has nonzero kernel. This gives a negative answer to the unrestricted integral Gersten conjecture.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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