| Finitely curved orbits of complex polynomial vector fields. | |
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MedLine Citation:
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PMID: 17401469 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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This note is about the geometry of holomorphic foliations. Let X be a polynomial vector field with isolated singularities on C2. We announce some results regarding two problems: 1. Given a finitely curved orbit L of X, under which conditions is L algebraic? 2. If X has some non-algebraic finitely curved orbit L what is the classification of X? Problem 1 is related to the following question: Let C [symbol: see text]C2 be a holomorphic curve which has finite total Gaussian curvature. Is C contained in an algebraic curve? |
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Authors:
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Albetã C Mafra |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: Anais da Academia Brasileira de Ciências Volume: 79 ISSN: 0001-3765 ISO Abbreviation: An. Acad. Bras. Cienc. Publication Date: 2007 Mar |
Date Detail:
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Created Date: 2007-04-02 Completed Date: 2007-07-31 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 7503280 Medline TA: An Acad Bras Cienc Country: Brazil |
Other Details:
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Languages: eng Pagination: 13-6 Citation Subset: - |
Affiliation:
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Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, 21945-970, Brasil. albetan@im.ufrj.br |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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