Combinatorial structure of exceptional sets in resolutions of singularities

Details Combinatorial structure of exceptional sets in resolutions of singularities Combinatorial structure of exceptional sets in resolutions of singularities

2006-11-29

arxiv.org/abs/math/0611903v1

Mathematics

Algebraic Geometry

18 pages; to appear as a preprint of the Max-Planck-Institut, Bonn

Scientific paper

The dual complex can be associated to any resolution of singularities whose exceptional set is a divisor with simple normal crossings. It generalizes to higher dimensions the notion of the dual graph of a resolution of surface singularity. The homotopy type of the dual complex does not depend on the choice of a resolution and thus can be considered as an invariant of singularity. In this preprint we show that the dual complex is homotopy trivial for resolutions of 3-dimensional terminal singularities and for resolutions of Brieskorn singularities. We also review our earlier results on resolutions of rational and hypersurface singularities.

Affiliated with

Also associated with

No associations

Rating

Combinatorial structure of exceptional sets in resolutions of singularities 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 Combinatorial structure of exceptional sets in resolutions of singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Combinatorial structure of exceptional sets in resolutions of singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-372987