Essentials of the method of maximal singularities

Details Essentials of the method of maximal singularities Essentials of the method of maximal singularities

1998-06-24

arxiv.org/abs/math/9806138v1

Mathematics

Algebraic Geometry

LATEX, 25 pages, to appear in "Proceedings of Symposium in Algebraic Geometry", ed. A.Corti and M.Reid. The volume is to come

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Essentials of the method of maximal singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Essentials of the method of maximal singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Essentials of the method of maximal singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-656204