Structure of the cycle map for Hilbert schemes of families of nodal curves

Details Structure of the cycle map for Hilbert schemes of families of nodal curves Structure of the cycle map for Hilbert schemes of families of nodal curves

2009-03-21

arxiv.org/abs/0903.3693v2

Mathematics

Algebraic Geometry

Scientific paper

We study the relative Hilbert scheme of a family of nodal (or smooth) curves, over a base of arbitrary dimension, via its (birational) cycle map, going to the relative symmetric product. We show the cycle map is the blowing up of the discriminant locus, which consists of cycles with multiple points. We determine the relevant cotangent sheaves and complexes. We determine the structure of certain projective bundles called node scrolls, which play an important role in the geometry of Hilbert schemes.

Affiliated with

Also associated with

No associations

Rating

Structure of the cycle map for Hilbert schemes of families of nodal curves 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 Structure of the cycle map for Hilbert schemes of families of nodal curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structure of the cycle map for Hilbert schemes of families of nodal curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-190696