Projectively flat KLT varieties
Abstract: In the context of uniformisation problems, we study projective varieties with klt singularities whose cotangent sheaf admits a projectively flat structure over the smooth locus. Generalising work of Jahnke-Radloff, we show that torus quotients are the only klt varieties with semistable cotangent sheaf and extremal Chern classes. An analogous result for varieties with nef normalised cotangent sheaves follows
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Notes
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Journal de l'Ecole Polytechnique. Mathématiques. - 8 (2021) , 1005-1036, ISSN: 2270-518X
- Event
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Veröffentlichung
- (where)
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Freiburg
- (who)
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Universität
- (when)
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2023
- Creator
- DOI
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10.5802/jep.164
- URN
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urn:nbn:de:bsz:25-freidok-2346386
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:48 AM CEST
Data provider
This object is provided by:
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Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Greb, Daniel
- Kebekus, Stefan
- Peternell, Thomas
- Universität
Time of origin
- 2023
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