ASYMPTOTICS OF THE BERGMAN FUNCTION FOR SEMIPOSITIVE HOLOMORPHIC LINE BUNDLES

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概要

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• 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 Kähler 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.

著者

• KAMIMOTO JOE

  Faculty of Mathematics, Kyushu University

• Nose Toshihiro

  Faculty of Mathematics, Kyushu University

• CHO Koji

  Faculty of Mathematics, Kyushu University

関連論文

• ASYMPTOTICS OF THE BERGMAN FUNCTION FOR SEMIPOSITIVE HOLOMORPHIC LINE BUNDLES
• Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude
• Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude

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