{"id":"openai-math/The-Bogomolov-Pop-reconstruction-theorem","pdf":"https://github.com/openai/math/blob/main/preprints/The-Bogomolov-Pop-reconstruction-theorem-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-Bogomolov-Pop-reconstruction-theorem-September-23-2026","tags":["anabelian-geometry","function-fields","galois-theory"],"score":0,"title":"The Bogomolov-Pop reconstruction theorem","domain":"Number theory","family":"009","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.NT","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Function-field reconstruction from Milnor K-theory and Galois data"}