Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups

Details Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups

1992-02-05

arxiv.org/abs/alg-geom/9202002v1

J. Alg. Geom. 1 (1992) 449--530

Mathematics

Algebraic Geometry

73 pages, AMSLaTeX v1.1

Scientific paper

We classify simple flops on smooth threefolds, or equivalently, Gorenstein threefold singularities with irreducible small resolution. There are only six families of such singularities, distinguished by Koll{\'a}r's {\em length} invariant. The method is to apply invariant theory to Pinkham's construction of small resolutions. As a by-product, generators of the ring of invariants are given for the standard action of the Weyl group of each of the irreducible root systems.

Affiliated with

Also associated with

No associations

Rating

Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups 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 Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-87274