Flags of holomorphic foliations
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| Formato: | Artículo científico |
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Academia Brasileira de Ciências
2011
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| _version_ | 1876430697835528192 |
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| author | Rogério S. Mol |
| author_facet | Rogério S. Mol |
| contents | Flags of holomorphic foliations Rogério S. Mol Multidisciplinaria (Ciencias Naturales y Exactas) polar varieties invariant varieties Holomorphic foliations A flag of holomorphic foliations on a complex manifold M is an object consisting of a finite number of singular holomorphic foliations on M of growing dimensions such that the tangent sheaf of a fixed foliation is a subsheaf of the tangent sheaf of any of the foliations of higher dimension. We study some basic properties oft hese objects and, in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" />, n > 3, we establish some necessary conditions for a foliation, we find bounds of lower dimension to leave invariant foliations of codimension one. Finally, still in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" /> involving the degrees of polar classes of foliations in a flag. 2011 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32719268024 http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.3 Vol.83 |
| format | Artículo científico |
| id | redalyc_32719268024 |
| institution | Redalyc |
| language | |
| publishDate | 2011 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | Flags of holomorphic foliations Rogério S. Mol Multidisciplinaria (Ciencias Naturales y Exactas) polar varieties invariant varieties Holomorphic foliations Flags of holomorphic foliations Rogério S. Mol Multidisciplinaria (Ciencias Naturales y Exactas) polar varieties invariant varieties Holomorphic foliations A flag of holomorphic foliations on a complex manifold M is an object consisting of a finite number of singular holomorphic foliations on M of growing dimensions such that the tangent sheaf of a fixed foliation is a subsheaf of the tangent sheaf of any of the foliations of higher dimension. We study some basic properties oft hese objects and, in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" />, n > 3, we establish some necessary conditions for a foliation, we find bounds of lower dimension to leave invariant foliations of codimension one. Finally, still in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" /> involving the degrees of polar classes of foliations in a flag. 2011 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32719268024 http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.3 Vol.83 |
| title | Flags of holomorphic foliations |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) polar varieties invariant varieties Holomorphic foliations |
| url | https://www.redalyc.org/articulo.oa?id=32719268024 |