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arxiv: math/0505587 · v2 · submitted 2005-05-26 · 🧮 math.DG · math.CV

The log term of Szego Kernel

classification 🧮 math.DG math.CV
keywords bundlekernellinetermahlermanifoldamplecircleclassical
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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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