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Research / Aug 21, 2026

Bounded mass property on the Hopf threefold

Do all compact complex manifolds have the bounded mass property?

Model / AI: Rethlas, GPT-5.6 Sol

self-reported
Aug 21, 2026

Hopf-threefold counterexample

Model / AI: Rethlas, GPT-5.6 Sol

self-reported

Xia and Zhang report that a Rethlas agent using GPT-5.6 Sol constructed the initial counterexample, later improved by a human collaborator. They prove that the bounded mass property fails on the standard Hopf threefold.

Source read 2026-09-08. Read the abstract, comments and AI-use disclosure in arXiv v1. The proof was not independently checked.