{"id":"openai-math/Symmetry-of-semialgebraic-bounded-domains-with-compact-quotient","pdf":"https://github.com/openai/math/blob/main/preprints/Symmetry-of-semialgebraic-bounded-domains-with-compact-quotient-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Symmetry-of-semialgebraic-bounded-domains-with-compact-quotient-September-24-2026","tags":["complex-geometry","bounded-domains","several-complex-variables","semialgebraic"],"score":0,"title":"Symmetry of semialgebraic bounded domains with compact quotient","domain":"Algebraic and complex geometry","family":"058","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"Every nonempty connected semialgebraic bounded open subset of a complex affine variety admitting a properly discontinuous cocompact group of biholomorphisms is smooth and biholomorphic to a bounded symmetric domain. This answers the bounded-domain question of Kollár and Pardon affirmatively.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":true,"family_title":"Semialgebraic universal covers and bounded domains"}