Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 311-01. Stabilizer orbits and thick tensor ideals of dualizable K(n)-local spectra
Manuscript map · lines 8515–8524
OpenAI@2026-10-07#rem:oai-p-311-01
Authors: OpenAI. Family 311.
Title: Stabilizer orbits and thick tensor ideals of dualizable K(n)-local spectra.
Abstract: We classify the prime and radical ideals of the Lubin–Tate deformation ring invariant under an open Morava stabilizer subgroup, at every prime and positive height. This proves Chai's invariant-ideal conjecture in the standard finite-residue-field formulation. It also proves the Hovey–Strickland conjecture: the dualizable $K(n)$-local category has exactly $n+2$ thick tensor ideals, and its Balmer spectrum is a chain of $n+1$ points.
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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