{"id":"openai-math/Semialgebraic-universal-covers-of-normal-projective-varieties","pdf":"https://github.com/openai/math/blob/main/preprints/Semialgebraic-universal-covers-of-normal-projective-varieties-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Semialgebraic-universal-covers-of-normal-projective-varieties-September-24-2026","tags":["complex-geometry","algebraic-geometry","universal-covers"],"score":0,"title":"Semialgebraic universal covers of normal projective varieties","domain":"Algebraic and complex geometry","family":"058","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"We prove the Kollár–Pardon conjecture: the universal cover of a connected normal projective complex variety is biholomorphic to a semialgebraic open subset of a projective variety if and only if it is a product of a bounded symmetric domain, a complex affine space, and a simply connected normal projective variety.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"Semialgebraic universal covers and bounded domains"}