Mathematics – Algebraic Geometry
Scientific paper
2004-10-02
Mathematics
Algebraic Geometry
To appear in proc. of Siena conf.; 16 pages
Scientific paper
We study the structure of the relative Hilbert scheme for a family of nodal (or smooth) curves via its natural cycle map to the relative symmetric product. We show that the cycle map is the blowing up of the discriminant locus, which consists of cycles with multiple points. We discuss some applications and connections, notably with birational geometry and intersection theory on Hilbert schemes of smooth surfaces. Revised version corrects some minor errors.
No associations
LandOfFree
Cycle map on Hilbert schemes 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 Cycle map on Hilbert schemes of nodal curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cycle map on Hilbert schemes of nodal curves will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-598432