Dimension theory and parameterized normalization for D-semianalytic sets over non-Archimedean fields
Abstract
Description
We develop a dimension theory for D-semianalytic sets over an arbitrary non-Archimedean complete field. Our main results are the equivalence of several notions of dimension and a theorem on additivity of dimensions of projections and fibers in characteristic 0. We also prove a parameterized version of normalization for D-semianalytic sets.
27 pages
27 pages