Is the Luna stratification intrinsic?

Details Is the Luna stratification intrinsic? Is the Luna stratification intrinsic?

2006-10-23

arxiv.org/abs/math/0610669v1

Ann. Inst. Fourier (Grenoble) 58 (2008), no. 2, 689--721.

Mathematics

Algebraic Geometry

27 pages

Scientific paper

Let G -> \GL(V) be a finite-dimensional linear representation of a reductive linear algebraic group G on a finite-dimensional vector space V, defined over an algebraically closed field of characteristic zero. The categorical quotient V//G carries a natural stratification, due to D. Luna. This paper addresses the following questions: (i) Is the Luna stratification of X intrinsic? That is, does every automorphism of V//G map each stratum to another stratum? (ii) Are the individual Luna strata in X intrinsic? That is, does every automorphism of V//G maps each stratum to itself? In general, the Luna stratification is not intrinsic. Nevertheless, we give positive answers to questions (i) and (ii) for large classes of interesting representations.

Affiliated with

Also associated with

No associations

Rating

Is the Luna stratification intrinsic? 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 Is the Luna stratification intrinsic?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Is the Luna stratification intrinsic? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-277230