Higher Rank Bergman Kernels on Compact Riemann Surfaces

Let X be a compact Riemann surface equipped with a real-analytic Kahler form omega and let E be a holomorphic vector bundle over X equipped with a real-analytic Hermitian metric h. Suppose that the curvature of h is Griffiths-positive. We prove the existence of a global asymptotic expansion in powers of k of the Bergman kernel associated to the k-th symmetric product of h and omega.

Author dc:creator

• Shin Kim (5279768)

• Complex Geometry

Statement dc:rights

• In Copyright

DOI dc:identifier

https://doi.org/10.25417/uic.32993900.v1

OAI identifier oai:identifier

oai:figshare.com:article/32993900