The log term of the Szegö kernal

Zhiqin Lu; Gang Tian

doi:10.1215/S0012-7094-04-12526-6

The log term of the Szegö kernal

Zhiqin Lu, Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

In this paper, we study the relations between the log term of the Szegö kernel of the unit circle bundle of the dual line bundle of an ample line bundle over a compact Kähler manifold. We prove a local rigidity theorem. The result is related to the classical Ramadanov conjecture.

Original language	English (US)
Pages (from-to)	351-387
Number of pages	37
Journal	Duke Mathematical Journal
Volume	125
Issue number	2
DOIs	https://doi.org/10.1215/S0012-7094-04-12526-6
State	Published - Nov 1 2004

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1215/S0012-7094-04-12526-6

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abstract = "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{\"a}hler manifold. We prove a local rigidity theorem. The result is related to the classical Ramadanov conjecture.",

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AB - In this paper, we study the relations between the log term of the Szegö kernel of the unit circle bundle of the dual line bundle of an ample line bundle over a compact Kähler manifold. We prove a local rigidity theorem. The result is related to the classical Ramadanov conjecture.

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The log term of the Szegö kernal

Abstract

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