Scaling limits for equivariant Szego kernels

Details Scaling limits for equivariant Szego kernels Scaling limits for equivariant Szego kernels

2006-12-19

arxiv.org/abs/math/0612547v3

Mathematics

Symplectic Geometry

exposition improved, examples and references added

Scientific paper

Suppose that the compact and connected Lie group G acts holomorphically on the irreducible complex projective manifold M, and that the action linearizes to the Hermitian ample line bundle L on M. Assume that 0 is a regular value of the associated moment map. The spaces of global holomorphic sections of powers of L may be decomposed over the finite dimensional irreducible representations of G. In this paper, we study how the holomorphic sections in each equivariant piece asymptotically concentrate along the zero locus of the moment map. In the special case where G acts freely on the zero locus of the moment map, this relates the scaling limits of the Szego kernel of the quotient to the scaling limits of the invariant part of the Szego kernel of (M,L).

Affiliated with

Also associated with

No associations

Rating

Scaling limits for equivariant Szego kernels 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 Scaling limits for equivariant Szego kernels, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scaling limits for equivariant Szego kernels will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-315820