2012/12/12 by Andrew R. Stout, Andrew Stout, Stout, Andrew
Mathematics · #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Logic (math.LO) #Rings, Modules, and Algebras #math.AG #math.LO
paper · pdf · doi:10.48550/arxiv.1212.2699
minor typos fixed, 5 pages
openalex publication_date 2012/12/12 · arxiv created 2013/03/09 · arxiv updated 2013/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In what follows, we are interested in an extension of a theorem of Nicholas Katz, which will be useful in studying the cohomology of generalized arc spaces develop by Hans Schoutens. As is well known, one is typically interested in the motivic volume of a definable subset of X × X × ℤn where X is a scheme over k((t)) and X the special fiber of X . Schoutens has introduced the possibility of developing a motivic integration for limit points other than k[[t]].