2008/02/18 by Adrien Dubouloz, Dubouloz, Adrien, Stéphane Lamy +1
Computer Science · Mathematics · #14E05 #Advanced Mathematical Modeling in Engineering #Algebraic Geometry (math.AG) #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.AG #msc:14E05
paper · pdf · doi:10.48550/arxiv.0802.2441
Revised and enlarged version with new examples and applications
openalex publication_date 2008/02/18 · arxiv created 2009/02/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let (S, BS) be the log-pair associated with a compactification of a given smooth quasi-projective surface V . Under the assumption that the boundary BS is irreducible, we propose an algorithm, in the spirit of the (log) Sarkisov program, to factorize any automorphism of V into a sequence of elementary links in the framework of the logarithmic Mori theory. The new noteworthy feature of our algorithm is that all the blow-ups and contractions involved in the process occur on the boundary.