Varieties with quadratic entry locus, II

Details Varieties with quadratic entry locus, II Varieties with quadratic entry locus, II

2007-03-18

arxiv.org/abs/math/0703531v2

Compositio Mathematica 144 (2008), 949--962

Mathematics

Algebraic Geometry

15 pages. Minor changes. Final version. To appear in Compositio Mathematica

Scientific paper

We continue the study, begun by the second author in math.AG/0701889, of secant defective manifolds having "simple entry loci". We prove that such manifolds are rational and describe them in terms of tangential projections. Using also our results in math.AG/0701885, their classification is reduced to the case of Fano manifolds of high index, whose Picard group is generated by the hyperplane section class. Conjecturally, the former should be linear sections of rational homogeneous manifolds. We also provide evidence that the classification of linearly normal dual defective manifolds with Picard group generated by the hyperplane section should follow along the same lines.

Affiliated with

Also associated with

No associations

Rating

Varieties with quadratic entry locus, II 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 Varieties with quadratic entry locus, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Varieties with quadratic entry locus, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-31669