Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 308-01. Finite Smith–Toda Complexes at Varying Primes
Manuscript map · lines 8475–8484
OpenAI@2026-10-07#rem:oai-p-308-01
Authors: OpenAI. Family 308.
Title: Finite Smith–Toda Complexes at Varying Primes.
Abstract: For every nonnegative integer n, we construct a Smith–Toda complex $V(n)$ at some prime p depending on n. It is a finite p-local spectrum whose Brown–Peterson homology is ${}mathrm{BP}_*/(p,v_1,{}ldots,v_n)$ with its canonical comodule structure and generator in degree zero. Each listed generator is killed to its first power.
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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