Metric Geometry of Quiver Flag Varieties and Balanced Embeddings

A projective manifold is called balanced if the integral of the moment map over its image in the projective embedding is a scalar multiple of the identity matrix. A hermitian metric on a line bundle is balanced if its Bergman kernel is identically constant. We study the relationship between balanced manifolds and balanced metrics, and generalize their correspondence to the case of weakly exceptional sequence of globally generated line bundles.

Author dc:creator

• Jaegeon Shin (24399464)

• Mathematics

Statement dc:rights

• In Copyright

DOI dc:identifier

https://doi.org/10.25417/uic.32993891.v1

OAI identifier oai:identifier

oai:figshare.com:article/32993891