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Weighted Bergman kernel: asymptotic behavior, applications and comparison results

100%

Chen B.-Y.

Studia Mathematica

2006

tom 174

nr 2

111-130

Inspired by the work of Engliš, we study the asymptotic behavior of the weighted Bergman kernel together with an application to the Lu Qi-Keng conjecture. Some comparison results between the weighted and the classical Bergman kernel are also obtained.

A new invariant Kähler metric on relatively compact domains in a complex manifold

100%

Chen B.-Y.

Annales Polonici Mathematici

2007

tom 91

nr 2-3

147-159

We introduce a new invariant Kähler metric on relatively compact domains in a complex manifold, which is the Bergman metric of the L² space of holomorphic sections of the pluricanonical bundle equipped with the Hermitian metric introduced by Narasimhan-Simha.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Studia Mathematica

2 Chen B.-Y.

1 2007

1 2006

Wyniki wyszukiwania

Weighted Bergman kernel: asymptotic behavior, applications and comparison results

A new invariant Kähler metric on relatively compact domains in a complex manifold