The log-term of the Bergman kernel of the disc bundle over a homogeneous Hodge manifold |
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| Authors: | Andrea Loi Roberto Mossa Fabio Zuddas |
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| Affiliation: | 1.Dipartimento di Matematica,Università di Cagliari,Cagliari,Italy;2.Departamento de Matemática,Universidade Federal de Santa Catarina,Florianópolis,Brazil;3.Dipartimento di Matematica e Informatica,Udine,Italy |
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| Abstract: | We show the vanishing of the log-term in the Fefferman expansion of the Bergman kernel of the disk bundle over a compact simply-connected homogeneous Kähler–Einstein manifold of classical type. Our results extends that in (Engli? and Zhang, Math Z 264(4):901–912, 2010) for the case of Hermitian symmetric spaces of compact type. |
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