{"id":"openai-math/Stabilizer-Orbits-and-Thick-Tensor-Ideals-of-Dualizable-Kn-Local-Spectra","pdf":"https://github.com/openai/math/blob/main/preprints/Stabilizer-Orbits-and-Thick-Tensor-Ideals-of-Dualizable-Kn-Local-Spectra-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Stabilizer-Orbits-and-Thick-Tensor-Ideals-of-Dualizable-Kn-Local-Spectra-September-24-2026","tags":["algebraic-topology","chromatic-homotopy","tensor-ideals","lubin-tate"],"score":0,"title":"Stabilizer orbits and thick tensor ideals of dualizable K(n)-local spectra","domain":"Topology","family":"311","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GT","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":1,"published":"2026-09-24","reactions":{},"discussion":[{"url":"https://arxiv.org/abs/2610.10072","date":"2026-10-07","kind":"web","site":"arXiv.org","text":"Let $H_n$ be the one-dimensional Honda formal group of height $n$ over $\\mathbf F_{p^n}$ and let \\[ R_n=W(\\mathbf F_{p^n})[[u_1,\\ldots,u_{n-1}]],\\qquad A_n=R_n/(p). \\] We prove, for every height $n$ and every prime $p$, that the prime ideals of $A_n$ stable under an open subgroup of the Morava…","added":"2026-10-24","title":"Invariant Primes in Lubin-Tate Space and Hovey-Strickland at Every Height","author":"Chenglong Ma","record":"arxiv/2610.10072"}],"formalized":false,"family_title":"The Hovey–Strickland and Chai conjectures"}