2018年2月21日
Chern forms of singular metrics on vector bundles
Advances in Mathematics
- ,
- ,
- ,
- 巻
- 326
- 号
- 開始ページ
- 465
- 終了ページ
- 489
- 記述言語
- 英語
- 掲載種別
- 研究論文（学術雑誌）
- DOI
- 10.1016/j.aim.2017.12.009
- 出版者・発行元
- Elsevier
We study singular hermitian metrics on holomorphic vector bundles, following Berndtsson–Păun. Previous work by Raufi has shown that for such metrics, it is in general not possible to define the curvature as a current with measure coefficients. In this paper we show that despite this, under appropriate codimension restrictions on the singular set of the metric, it is still possible to define Chern forms as closed currents of order 0 with locally finite mass, which represent the Chern classes of the vector bundle.
- リンク情報
-
- DOI
- https://doi.org/10.1016/j.aim.2017.12.009
- arXiv
- http://arxiv.org/abs/arXiv:1608.05542
- Arxiv Url
- http://arxiv.org/abs/1608.05542v3
- Arxiv Url
- http://arxiv.org/pdf/1608.05542v3 本文へのリンクあり
- ID情報
-
- DOI : 10.1016/j.aim.2017.12.009
- arXiv ID : arXiv:1608.05542