1998/06/24 by Александр Валентинович Пухликов, Aleksandr V. Pukhlikov, Pukhlikov, Aleksandr V. · 1 citation
Computer Science · Mathematics · #14E05 #14E07 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14E05 #msc:14E07
paper · pdf · doi:10.48550/arxiv.math/9806138
LATEX, 25 pages, to appear in "Proceedings of Symposium in Algebraic Geometry", ed. A.Corti and M.Reid. The volume is to come out in 1999
arxiv created 1998/06/24 · openalex publication_date 1998/06/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A consistent exposition of the arguments and constructions of the method of maximal singularities, the aim of which is to describe birational iso/automorphisms of Fano varieties and Fano fibrations. The principal elements of the method are considered: N" other-Fano inequality, maximal cycles, infinitely near maximal singularities, exclusion and untwisting. In a detailed way the crucial technical points are discussed. We also give a new version of the proof of Sarkisov theorem which is ideologically more close to the original arguments of V.A.Iskovskikh and Yu.I.Manin.