Gehlawat, S and Verma, K (2022) Non-negative divisors and the Grauert metric. In: Archiv der Mathematik .
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Official URL: https://doi.org/10.1007/s00013-022-01762-w
Abstract
Grauert showed that it is possible to construct complete Kähler metrics on the complement of complex analytic sets in a domain of holomorphy. In this note, we study the holomorphic sectional curvatures of such metrics on the complement of a principal divisor in Cn, n≥ 1. In addition, we also study how this metric and its holomorphic sectional curvature behave when the corresponding principal divisors vary continuously.
| Item Type: | Journal Article |
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| Publication: | Archiv der Mathematik |
| Publisher: | Birkhauser |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Grauert metric; Holomorphic sectional curvature; Non-negative divisors |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 10 Aug 2022 10:28 |
| Last Modified: | 10 Aug 2022 10:28 |
| URI: | https://eprints.iisc.ac.in/id/eprint/75794 |
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