On the asymptotic expansion of Bergman kernel

2004/04/27 by Dai, Xianzhe, Liu, Kefeng, Ma, Xiaonan · 9 citations
#Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.math/0404494

Abstract

We study the asymptotic of the Bergman kernel of the spin^c Dirac operator on high tensor powers of a line bundle.

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• On the Bergman kernel of polarized abelian varieties
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• On the Localization of the Christoffel-Darboux Kernel
• Off-diagonal estimates of the Bergman kernel associated to Siegel varieties
• Fubini-Study forms on punctured Riemann surfaces
• Bernstein-Markov measures and Toeplitz theory

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