Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/102793
Title: Admissible Hermitian metrics on families of line bundles over certain degenerating Riemann surfaces
Authors: To, W.-K. 
Weng, L.
Issue Date: Feb-2001
Citation: To, W.-K.,Weng, L. (2001-02). Admissible Hermitian metrics on families of line bundles over certain degenerating Riemann surfaces. Pacific Journal of Mathematics 197 (2) : 441-489. ScholarBank@NUS Repository.
Abstract: We show that a family of line bundles of degree zero over a plumbing family of Riemann surfaces with a separating (resp. non-separating) node p admits a nice (resp. almost nice) family of flat p-singular Hermitian metrics. As a consequence, we give necessary and sufficient conditions for a family of line bundles over such families of Riemann surfaces to admit an (almost) nice family of p-singular Hermitian metrics which are admissible with respect to the canonical/hyperbolic (1,1)-forms on the Riemann surfaces.
Source Title: Pacific Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/102793
ISSN: 00308730
Appears in Collections:Staff Publications

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