Symplectic singularities from the Poisson point of view

Details Symplectic singularities from the Poisson point of view Symplectic singularities from the Poisson point of view

2003-10-13

arxiv.org/abs/math/0310186v4

Mathematics

Algebraic Geometry

Version 4, really final, to appear in Crelle. Corrected Corollary 2.8 (it was too strong)

Scientific paper

We consider symplectic singularities in the sense of A. Beauville as examples of Poisson schemes. Using Poisson methods, we prove that a symplectic singularity admits a finite stratification with smooth symplectic strata. We also prove that in the formal neighborhood of a closed point in some stratum, the singularity is a product of the stratum and a transversal slice. The transversal slice is also a symplectic singularity, and the product decomposition is compatible with natural Poisson structures. Moreover, we prove that the transversal slice admits a $C^*$-action dilating the symplectic form.

Affiliated with

Also associated with

No associations

Rating

Symplectic singularities from the Poisson point of view 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 Symplectic singularities from the Poisson point of view, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symplectic singularities from the Poisson point of view will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-639543