Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles

Details Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles

2005-11-07

arxiv.org/abs/math/0511158v1

Mathematics

Complex Variables

Scientific paper

In this paper we obtain the full asymptotic expansion of the Bergman-Hodge
kernel associated to a high power of a holomorphic line bundle with
non-degenerate curvature. We also explore some relations with asymptotic
holomorphic sections on symplectic manifolds

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