Stack structures on GIT quotients parametrizing hypersurfaces

Details Stack structures on GIT quotients parametrizing hypersurfaces Stack structures on GIT quotients parametrizing hypersurfaces

2009-02-25

arxiv.org/abs/0902.4454v1

Math. Nachr. 284, No. 7, 885--898 (2011)

Mathematics

Algebraic Geometry

16 pages, 2 figures, to appear in Mathematische Nachrichten

Scientific paper

10.1002/mana.200810125

We suggest to endow Mumford's GIT quotient scheme with a stack structure, by replacing Proj(-) of the invariant ring with its stack theoretic analogue. We analyse the stacks resulting in this way from classically studied invariant rings, and in particular for binary forms of low degree. Our viewpoint is that the stack structure carries interesting geometric information that is intrinsically present in the invariant ring, but lost when passing to its Proj(-).

Affiliated with

Also associated with

No associations

Rating

Stack structures on GIT quotients parametrizing 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 Stack structures on GIT quotients parametrizing hypersurfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stack structures on GIT quotients parametrizing hypersurfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-253607