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Finite Smith–Toda Complexes at Varying Primes

Source: github.com/openai/math/tree/main/preprints/Finite-Smith-Tod…

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OpenAI Mathopenai-math/Finite-Smith-Toda-Complexes-at-Varying-PrimesSep 23, 2026math.GTAI-generatedscore 0

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.

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