Relations in the Sarkisov Program

Details Relations in the Sarkisov Program Relations in the Sarkisov Program

2012-03-16

arxiv.org/abs/1203.3767v1

Mathematics

Algebraic Geometry

Scientific paper

The Sarkisov Program studies birational maps between varieties that are end products of the Minimal Model Program (MMP) on nonsingular uniruled varieties. If X and Y are terminal Q-factorial projective varieties endowed with a structure of Mori fibre space, any birational map between them can be decomposed into a finite number of elementary Sarkisov links. This decomposition is not unique in general, and any two distinct decompositions define a relation in the Sarkisov Program. This paper shows that relations in the Sarkisov Program are generated by some elementary relations. Roughly speaking, elementary relations are the relations among the end products of the MMP of Z over W, for suitable Z and W with relative Picard rank 3.

Affiliated with

Also associated with

No associations

Rating

Relations in the Sarkisov Program 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 Relations in the Sarkisov Program, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relations in the Sarkisov Program will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-352256