Interpolation of characteristic classes of singular hypersurfaces

Details Interpolation of characteristic classes of singular hypersurfaces Interpolation of characteristic classes of singular hypersurfaces

2001-07-25

arxiv.org/abs/math/0107185v1

Adv. Math. 180 (2003), no. 2, 692-704

Mathematics

Algebraic Geometry

10 pages

Scientific paper

10.1016/S0001-8708(03)00017-3

We show that the Chern-Schwartz-MacPherson class of a hypersurface X in a nonsingular variety M `interpolates' between two other notions of characteristic classes for singular varieties, provided that the singular locus of X is smooth and that certain numerical invariants of X are constant along this locus. This allows us to define a lift of the Chern-Schwartz-MacPherson class of such `nice' hypersurfaces to intersection homology. As another application, the interpolation result leads to an explicit formula for the Chern-Schwartz-MacPherson class of X in terms of its polar classes.

Affiliated with

Also associated with

No associations

Rating

Interpolation of characteristic classes of singular 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 Interpolation of characteristic classes of singular hypersurfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interpolation of characteristic classes of singular hypersurfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-288438