1997/12/02 by Janós Kollár, János Kollár, Kollár, János
Computer Science · Mathematics · #14B05 #14G27 (Secondary) #14P25 (Primary) 14E30 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #alg-geom #math.AG #msc:14B05 #msc:14E30 #msc:14G27 #msc:14P25
paper · pdf · doi:10.48550/arxiv.alg-geom/9712004
LATEX2e, 24 pages
arxiv created 1997/12/02 · openalex publication_date 1997/12/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is the first of a series of papers studying real algebraic threefolds using the minimal model program. The main results are outlined in Part II. The present part I. contains the necessary preliminary work concerning terminal singularities. First I give standard forms for 3-dimensional terminal singularities over arbitrary fields. This is then used to develop a fairly complete topological classification over the reals.