The log term of Szego Kernel

Mathematics – Differential Geometry

Scientific paper

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We corrected a typo in the title in this version

Scientific paper

In this paper, we study the relations between the log term of the Szeg\"o
kernel of the unit circle bundle of the dual line bundle of an ample line
bundle over a compact K\"ahlermanifold. We proved a local rigidity theorem. The
result is related to the classical Ramadanov Conjecture.

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