Admissible Hermitian metrics on families of line bundles over certain degenerating Riemann surfaces

Wing Keung To, Lin Weng

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)441-489
Number of pages49
JournalPacific Journal of Mathematics
Volume197
Issue number2
DOIs
Publication statusPublished - Feb 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Admissible Hermitian metrics on families of line bundles over certain degenerating Riemann surfaces'. Together they form a unique fingerprint.

Cite this