{"id":"openai-math/The-Abelian-Zilber-Pink-Conjecture","pdf":"https://github.com/openai/math/blob/main/preprints/The-Abelian-Zilber-Pink-Conjecture-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-Abelian-Zilber-Pink-Conjecture-September-24-2026","tags":["diophantine-geometry","abelian-varieties","unlikely-intersections"],"score":0,"title":"The abelian Zilber–Pink conjecture","domain":"Number theory","family":"016","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.NT","summary":"We prove the abelian Zilber–Pink conjecture over $`\\overline{\\mathbb Q}`$. Every irreducible subvariety of an abelian variety has only finitely many maximal atypical subvarieties, where atypicality is measured inside its smallest containing torsion coset.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"Zilber–Pink in abelian varieties and the Siegel threefold"}