The Szegö Kernel on an Orbifold Circle Bundle
نویسنده
چکیده
The analysis of holomorphic sections of high powers L of holomorphic ample line bundles L → M over compact Kähler manifolds has been widely applied in complex geometry and mathematical physics. Any polarized Kähler metric g with respect to the ample line bundle L corresponds to the Ricci curvature of a hermitian metric h on L. Any orthonormal basis {SN 0 , ..., S dN} of H(M,L ) induces a holomorphic embedding ΦN of M into CP dN . We call the pullback of the rescaled FubiniStudy metric 1 N ΦNgFS the Bergman metric with respect to L N . Tian[25] applied Hörmander’s L-estimate to produce peak sections and proves the C convergence of the Bergman metrics. Zelditch[32] later generalized Tian’s theorem by applying Boutet de Monvel-Sjöstrand[6] parametrix for the Szegö kernel. Namely
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تاریخ انتشار 2004