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oai:figshare.com:article/32993900 2026-05-01T00:00:00Z portal_693 item_type_8 month_year_05_2026

Higher Rank Bergman Kernels on Compact Riemann Surfaces Shin Kim (5279768) Complex Geometry Let X be a compact Riemann surface equipped with a real-analytic Kahler form omega and let E be a holomorphic vector bundle over X equipped with a real-analytic Hermitian metric h. Suppose that the curvature of h is Griffiths-positive. We prove the existence of a global asymptotic expansion in powers of k of the Bergman kernel associated to the k-th symmetric product of h and omega. 2026-05-01T00:00:00Z Text Thesis 10.25417/uic.32993900.v1 https://figshare.com/articles/thesis/Higher_Rank_Bergman_Kernels_on_Compact_Riemann_Surfaces/32993900 In Copyright