Some remarks on regular foliations with numerically trivial canonical class
In this article, we first describe codimension two regular foliations with numerically trivial canonical class on complex projective manifolds whose canonical class is not numerically effective. Building on a recent algebraicity criterion for leaves of algebraic foliations, we then address regular f...
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| Format: | Article |
| Language: | English |
| Published: |
Association Epiga
2017-09-01
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| Series: | Épijournal de Géométrie Algébrique |
| Subjects: | |
| Online Access: | https://epiga.episciences.org/2057/pdf |
| Summary: | In this article, we first describe codimension two regular foliations with
numerically trivial canonical class on complex projective manifolds whose
canonical class is not numerically effective. Building on a recent algebraicity
criterion for leaves of algebraic foliations, we then address regular
foliations of small rank with numerically trivial canonical class on complex
projective manifolds whose canonical class is pseudo-effective. Finally, we
confirm the generalized Bondal conjecture formulated by Beauville in some
special cases. |
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| ISSN: | 2491-6765 |