Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 308-02. A finite Smith–Toda complex V(4) at the prime 1009
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OpenAI@2026-10-07#rem:oai-p-308-02
Authors: OpenAI. Family 308.
Title: A finite Smith–Toda complex V(4) at the prime 1009.
Abstract: We construct a Smith–Toda complex $V(4)$ at the prime 1009. It is an ordinary finite 1009-local spectrum whose Brown–Peterson homology is $BP_*/(1009,v_1,v_2,v_3,v_4)$, with its canonical comodule structure and generator in degree zero.
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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