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

Wing Keung To, Lin Weng

研究成果: ジャーナルへの寄稿記事

1 引用 (Scopus)

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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.

元の言語英語
ページ(範囲)441-489
ページ数49
ジャーナルPacific Journal of Mathematics
197
発行部数2
DOI
出版物ステータス出版済み - 2 2001
外部発表Yes

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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