Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents

Details Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents

2009-08-14

arxiv.org/abs/0908.2010v1

Mathematics

Algebraic Geometry

to appear in Ann. sci. E. N. S

Scientific paper

We formulate the equivalence problem, in the sense of E. Cartan, for families of minimal rational curves on uniruled projective manifolds. An important invariant of this equivalence problem is the variety of minimal rational tangents. We study the case when varieties of minimal rational tangents at general points form an isotrivial family. The main question in this case is for which projective variety $Z$, a family of minimal rational curves with $Z$-isotrivial varieties of minimal rational tangents is locally equivalent to the flat model. We show that this is the case when $Z$ satisfies certain projective-geometric conditions, which hold for a non-singular hypersurface of degree $\geq 4$.

Affiliated with

Also associated with

No associations

Rating

Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents 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 Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-272213