Asymptotics of the Bergman function for semipositive holomorphic line bundles

Koji Cho, Joe Kamimoto, Toshihiro Nose

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper, an asymptotic expansion of the Bergman function at a degenerate point is given for high powers of semipositive holomorphic line bundles on compact K̈ahler manifolds, whose Hermitian metrics have some kind of quasihomogeneous properties. In the sense of pointwise asymptotics, this expansion is a generalization of the expansion of Tian- Zelditch-Catlin-Lu in the positive line bundle case.

Original languageEnglish
Pages (from-to)349-382
Number of pages34
JournalKyushu Journal of Mathematics
Volume65
Issue number2
DOIs
Publication statusPublished - Nov 12 2011

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Line Bundle
Compact Manifold
High Power
Asymptotic Expansion
Metric
Generalization

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Asymptotics of the Bergman function for semipositive holomorphic line bundles. / Cho, Koji; Kamimoto, Joe; Nose, Toshihiro.

In: Kyushu Journal of Mathematics, Vol. 65, No. 2, 12.11.2011, p. 349-382.

Research output: Contribution to journalArticle

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