2017/03/31 by Tommaso de Fernex, Roi Docampo
Mathematics · #Algebraic Geometry and Number Theory #Arc (geometry) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Jet (fluid) #Scheme (mathematics) #Sheaf #Space (punctuation) #math.AG #msc:13H99 #msc:13N05 #msc:14E18
paper · pdf · doi:10.1215/00127094-2019-0043
published as Duke Math. J. 169, no. 2 (2020), 353-396 · 30 pages; v3: substantial changes especially in Sections 8, 10, and 11; main results remain unchanged; several edits and additions throughout the paper aimed to improve the exposition; to appear in Duke Math. J
openalex created_date 2017/04/28 · arxiv created 2019/07/18 · openalex publication_date 2019/12/12 · arxiv updated 2020/02/12 · openalex updated_date 2026/08/05
We provide a description of the sheaves of Kähler differentials of the arc space and jet schemes of an arbitrary scheme where these sheaves are computed directly from the sheaf of differentials of the given scheme. Several applications on the structure of arc spaces are presented.