2023/07/10 by Zev Rosengarten, Rosengarten, Zev · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Commutative property #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Morphism #Pure mathematics #Rigidity (electromagnetism) #Separable space #Unipotent #math.AG
paper · pdf · doi:10.48550/arxiv.2307.04649
openalex publication_date 2023/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove a rigidity theorem for morphisms from products of open subschemes of the projective line into solvable groups not containing a copy of \Ga (for example, wound unipotent groups). As a consequence, we deduce several structural results about unirational group schemes, including that unirationality for group schemes descends through separable extensions. We also apply the main result to prove that permawound unipotent groups are unirational and -- when wound -- commutative.