2012/12/18 by Rolf Källström, Källström, Rolf
Mathematics · Physics and Astronomy · #13 #14 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1212.4253
openalex publication_date 2012/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let X/k be a noetherian scheme over a field k of characteristic 0, such that the residue field at its closed points are algebraic extensions of k. Let \mathfrak gX/k⊂ TX/k be an \mathcal OX-submodule of the tangent sheaf which is closed under the Lie bracket. We construct a stratification of the subset of closed points in X by locally closed subsets that are preserved by \mathfrak gX/k, on which \mathfrak gX/k acts transitively.