4 citations · 7 across the 5 of their papers we have counts for
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Abstract Bergman kernel expansion and its applications
Chiung-ju Liu, Zhiqin Lu
We give a purely complex geometric proof of the existence of the Bergman kernel expansion. Our method provides a sharper estimate, and in the case that the metrics are real analyti…
Generalized asymptotic expansions of Tian-Yau-Zelditch (Announcements)
Chiung-ju Liu, Zhiqin Lu
This an announcement for the generalized asymptotic expansion of Tian-Yau-Zeldtich.
The asymptotic Tian-Yau-Zelditch expansion on Riemann surfaces with Constant Curvature
Chiung-ju Liu
Let be a regular Riemann surface with a metric which has constant scalar curvature . We give the asymptotic expansion of the sum of the square norm of the sections of the pl…
Bando-Futaki Invariants on Hypersurfaces
Chiung-ju Liu
In this paper, the Bando-Futaki invariants on hypersurfaces are derived in terms of the degree of the defining polynomials, the dimension of the underlying projective space, and th…