Essentials of the method of maximal singularities
Abstract
Description
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{\" o}ther-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.
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
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