Birationally rigid hypersurfaces

Details Birationally rigid hypersurfaces Birationally rigid hypersurfaces

2006-04-10

arxiv.org/abs/math/0604213v3

Mathematics

Algebraic Geometry

23 pages; v3: The gap left open by the error in the first version has now been filled. The title has been shortened

Scientific paper

We prove that for N greater than or equal to 4, all smooth hypersurfaces of degree N in P^N are birationally superrigid. First discovered in the case N = 4 by Iskovskikh and Manin in a work that started this whole direction of research, this property was later conjectured to hold in general by Pukhlikov. The proof relies on the method of maximal singularities in combination with a delicate formula on restrictions of multiplier ideals.

Affiliated with

Also associated with

No associations

Rating

Birationally rigid hypersurfaces 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 Birationally rigid hypersurfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Birationally rigid hypersurfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-701834