Frobenius integrability of certain $p$-forms on singular spaces
Demailly proved that on a smooth compact Kähler manifold the distribution defined by a holomorphic $p$-form with values in an anti-pseudoeffective line bundle is always integrable. We generalise his result to compact Kähler spaces with klt singularities.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-06-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.582/ |
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| author | Cao, Junyan Höring, Andreas |
| author_facet | Cao, Junyan Höring, Andreas |
| author_sort | Cao, Junyan |
| collection | DOAJ |
| description | Demailly proved that on a smooth compact Kähler manifold the distribution defined by a holomorphic $p$-form with values in an anti-pseudoeffective line bundle is always integrable. We generalise his result to compact Kähler spaces with klt singularities. |
| format | Article |
| id | doaj-art-9a812ba59fd24261bfa486f2e521f04b |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-9a812ba59fd24261bfa486f2e521f04b2025-02-07T11:13:30ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-06-01362S1435410.5802/crmath.58210.5802/crmath.582Frobenius integrability of certain $p$-forms on singular spacesCao, Junyan0Höring, Andreas1Université Côte d’Azur, CNRS, LJAD, France, Institut universitaire de FranceUniversité Côte d’Azur, CNRS, LJAD, France, Institut universitaire de FranceDemailly proved that on a smooth compact Kähler manifold the distribution defined by a holomorphic $p$-form with values in an anti-pseudoeffective line bundle is always integrable. We generalise his result to compact Kähler spaces with klt singularities.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.582/holomorphic $p$-formsklt spacesfoliations |
| spellingShingle | Cao, Junyan Höring, Andreas Frobenius integrability of certain $p$-forms on singular spaces Comptes Rendus. Mathématique holomorphic $p$-forms klt spaces foliations |
| title | Frobenius integrability of certain $p$-forms on singular spaces |
| title_full | Frobenius integrability of certain $p$-forms on singular spaces |
| title_fullStr | Frobenius integrability of certain $p$-forms on singular spaces |
| title_full_unstemmed | Frobenius integrability of certain $p$-forms on singular spaces |
| title_short | Frobenius integrability of certain $p$-forms on singular spaces |
| title_sort | frobenius integrability of certain p forms on singular spaces |
| topic | holomorphic $p$-forms klt spaces foliations |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.582/ |
| work_keys_str_mv | AT caojunyan frobeniusintegrabilityofcertainpformsonsingularspaces AT horingandreas frobeniusintegrabilityofcertainpformsonsingularspaces |