Bibliographic Information
- Other Title
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- A transcendental approach to Kollar's injectivity theorem
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Abstract
We treat Kollár's injectivity theorem from the analytic (or differential geometric) viewpoint. More precisely, we give a curvature condition which implies Kollár type cohomology injectivity theorems. Our main theorem is formulated for a compact Kähler manifold, but the proof uses the space of harmonic forms on a Zariski open set with a suitable complete Kähler metric. We need neither covering tricks, desingularizations, nor Leray's spectral sequence.
Journal
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- Osaka Journal of Mathematics
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Osaka Journal of Mathematics 49 (3), 833-852, 2012-09
Osaka University and Osaka City University, Departments of Mathematics
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Details 詳細情報について
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- CRID
- 1390009224810554624
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- NII Article ID
- 120004898478
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- NII Book ID
- AA00765910
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- DOI
- 10.18910/23148
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- HANDLE
- 11094/23148
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- ISSN
- 00306126
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- Text Lang
- en
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- Data Source
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- JaLC
- IRDB
- CiNii Articles