Remark on the Off-Diagonal Expansion of the Bergman Kernel on Compact Kähler Manifolds
2013; Springer Science+Business Media; Volume: 1; Issue: 1 Linguagem: Inglês
10.1007/s40304-013-0004-8
ISSN2194-6701
Autores Tópico(s)Holomorphic and Operator Theory
ResumoIn this short note, we compare our previous work on the off-diagonal expansion of the Bergman kernel and the preprint of Lu–Shiffman ( arXiv:1301.2166 ). In particular, we note that the vanishing of the coefficient of p −1/2 is implicitly contained in Dai–Liu–Ma's work (J. Differ. Geom. 72(1), 1–41, 2006) and was explicitly stated in our book (Holomorphic Morse inequalities and Bergman kernels. Progress in Math., vol. 254, 2007).
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