Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 009-03. The Bogomolov-Pop reconstruction theorem
Manuscript map · lines 2605–2614
OpenAI@2026-10-07#rem:oai-p-009-03
Authors: OpenAI. Family 009.
Title: The Bogomolov-Pop reconstruction theorem.
Abstract: We prove the Bogomolov–Pop reconstruction conjecture for function fields of transcendence degree at least two over arbitrary algebraically closed fields of characteristic different from ℓ. The pro-ℓ abelian-by-central datum determines the perfect closure and its constant field, with precisely the Frobenius and ℓ-adic unit ambiguities.
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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