CM Stability and the Generalized Futaki Invariant I

Details CM Stability and the Generalized Futaki Invariant I CM Stability and the Generalized Futaki Invariant I

2006-05-10

arxiv.org/abs/math/0605278v5

Mathematics

Algebraic Geometry

24 pages, fully rewritten, references added

Scientific paper

Based on the Cayley, Grothendieck, Knudsen Mumford theory of determinants we extend the CM polarization to the Hilbert scheme. We identify the weight of this refined line bundle with the generalized Futaki invariant of Donaldson. We are able to conclude that CM stability implies K-Stability. An application of the Grothendieck Riemann Roch Theorem shows that this refined sheaf is isomorphic to the CM polarization introduced by Tian in 1994 on any closed, simply connected base .

Affiliated with

Also associated with

No associations

Rating

CM Stability and the Generalized Futaki Invariant I 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 CM Stability and the Generalized Futaki Invariant I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and CM Stability and the Generalized Futaki Invariant I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-469596