Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 209-01. An integral counterexample to Gersten's conjecture
Manuscript map · lines 6115–6124
OpenAI@2026-10-07#rem:oai-p-209-01
Authors: OpenAI. Family 209.
Title: An integral counterexample to Gersten's conjecture.
Abstract: We construct a two-dimensional ramified regular local ring A of mixed characteristic $(0,5)$ for which $K_5(A){}to K_5({}mathop{{}mathrm{Frac}}{}nolimits A)$ has a nonzero kernel. This disproves Gersten's conjecture in its unrestricted integral form.
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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