1998/12/17 by Mikhail Grinberg, David Kazhdan, Grinberg, Mikhail +1
Mathematics · Physics and Astronomy · #14B20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG #msc:14B20
paper · pdf · doi:10.48550/arxiv.math/9812104
12 pages, AMS-LaTeX
arxiv created 1998/12/17 · openalex publication_date 1998/12/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let X be a complex algebraic variety, and L(X) be the scheme of formal arcs in X. Let f be an arc whose image is not contained in the singularities of X. We show that the formal neighborhood of f in L(X) admits a decomposition into a product of an infinite-dimensional smooth piece, and a piece isomorphic to the formal neighborhood of a closed point of a scheme of finite type.