{"id":"openai-math/Two-step-monodromy-of-special-quasi-projective-varieties","pdf":"https://github.com/openai/math/blob/main/preprints/Two-step-monodromy-of-special-quasi-projective-varieties-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Two-step-monodromy-of-special-quasi-projective-varieties-September-24-2026","tags":["algebraic-geometry","monodromy","complex-geometry"],"score":0,"title":"Two-step monodromy of special quasi-projective varieties","domain":"Algebraic and complex geometry","family":"057","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"We give an independent proof that every complex linear representation of the ordinary fundamental group of a connected smooth special complex quasi-projective variety has virtually nilpotent image of class at most two. This conclusion was previously announced by Cao–Deng–Hacon–Păun. We also construct special open surfaces whose general quasi-Albanese fibres are not special.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"Fundamental groups of special complex varieties and root orbifolds"}