Please use this identifier to cite or link to this item:
|Title:||Admissible Hermitian metrics on families of line bundles over certain degenerating Riemann surfaces||Authors:||To, W.-K.
|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|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Sep 22, 2022
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.