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 |
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Association Epiga
2017-09-01
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| Series: | Épijournal de Géométrie Algébrique |
| Subjects: | |
| Online Access: | https://epiga.episciences.org/2057/pdf |
| _version_ | 1811340501294514176 |
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| author | Stéphane Druel |
| author_facet | Stéphane Druel |
| author_sort | Stéphane Druel |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T18:42:53Z |
| format | Article |
| id | doaj.art-b173dda4e88847c0bc27a3bf86dbca12 |
| institution | Directory Open Access Journal |
| issn | 2491-6765 |
| language | English |
| last_indexed | 2024-04-13T18:42:53Z |
| publishDate | 2017-09-01 |
| publisher | Association Epiga |
| record_format | Article |
| series | Épijournal de Géométrie Algébrique |
| spelling | doaj.art-b173dda4e88847c0bc27a3bf86dbca122022-12-22T02:34:40ZengAssociation EpigaÉpijournal de Géométrie Algébrique2491-67652017-09-01Volume 110.46298/epiga.2017.volume1.20572057Some remarks on regular foliations with numerically trivial canonical classStéphane DruelIn 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.https://epiga.episciences.org/2057/pdfmathematics - algebraic geometry37f75 |
| spellingShingle | Stéphane Druel Some remarks on regular foliations with numerically trivial canonical class Épijournal de Géométrie Algébrique mathematics - algebraic geometry 37f75 |
| title | Some remarks on regular foliations with numerically trivial canonical class |
| title_full | Some remarks on regular foliations with numerically trivial canonical class |
| title_fullStr | Some remarks on regular foliations with numerically trivial canonical class |
| title_full_unstemmed | Some remarks on regular foliations with numerically trivial canonical class |
| title_short | Some remarks on regular foliations with numerically trivial canonical class |
| title_sort | some remarks on regular foliations with numerically trivial canonical class |
| topic | mathematics - algebraic geometry 37f75 |
| url | https://epiga.episciences.org/2057/pdf |
| work_keys_str_mv | AT stephanedruel someremarksonregularfoliationswithnumericallytrivialcanonicalclass |