Germs of holomorphic vector fields in C-m without a separatrix
| dc.contributor.author | Luengo Velasco, Ignacio | |
| dc.contributor.author | Olivares , J. | |
| dc.date.accessioned | 2023-06-20T17:00:18Z | |
| dc.date.available | 2023-06-20T17:00:18Z | |
| dc.date.issued | 2000-12 | |
| dc.description | Supported by DGICYT (Spain) PB97-0284-C02-01.Partially supported by CONACYT (Mexico) Projects 3398-E9307, 0324P-E9506 and Postdoctoral Grant 963052, at Dto. Algebra, Geometria y Topologia, U. Valladolid. | |
| dc.description.abstract | We prove the existence of families of germs of holomorphic vector fields in Cm without a separatrix, in every complex dimension m bigger than or equal to 4. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGICYT | |
| dc.description.sponsorship | CONACYT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16775 | |
| dc.identifier.doi | 10.1090/S0002-9947-00-02677-5 | |
| dc.identifier.issn | 0002-9947 | |
| dc.identifier.officialurl | http://www.jstor.org/stable/221900 | |
| dc.identifier.relatedurl | http://www.jstor.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57609 | |
| dc.issue.number | 12 | |
| dc.journal.title | Transactions of the American Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 5524 | |
| dc.page.initial | 5511 | |
| dc.publisher | American Mathematical Society | |
| dc.relation.projectID | PB97-0284-C02-01 | |
| dc.relation.projectID | 3398-E9307 | |
| dc.relation.projectID | 0324P-E9506 | |
| dc.relation.projectID | 963052 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 512 | |
| dc.subject.keyword | Holomorphic vector fields | |
| dc.subject.keyword | Separatrix | |
| dc.subject.ucm | Álgebra | |
| dc.subject.unesco | 1201 Álgebra | |
| dc.title | Germs of holomorphic vector fields in C-m without a separatrix | |
| dc.type | journal article | |
| dc.volume.number | 352 | |
| dcterms.references | C. Camacho, P. Sad, Invariant varieties through singularities of holomorphic vector fields. Ann. of Math. 115 (1982), 579-595. MR 83m:58062 S.S. Chern, Meromorphic vector fields and characteristic numbers. Scripta Math. 29 (1973), 243-251. MR 54:609 Ph. Griffiths, J. Harris, Principles of Algebraic Geometry, Wiley-Interscience, 1978. MR 80b:14001; Reprint MR 95d:14001 X. Gomez-Mont, G. Kempf, Stability of meromorphic vector fields in projective spaces. Comment. Math. Helv. 64 (1989), 462-473. MR 90d:14012 X. Gomez-Mont, I. Luengo, Germs of holomorphic vector fields in C3 without a separatrix. Invent. Math. 109 (1992), 211-219. MR 93m:32049 R. Hartshorne, Algebraic Geometry, Graduate Texts in Math., 52 Springer-Verlag, New York, Heidelberg, 1977. MR 57:3116 J. Olivares, On vector fields in C3 without a separatrix. Rev. Mat. Univ. Complut. Madrid. 5 (1992), 13-34. MR 94a:32057 J. Olivares, On the problem of existence of germs of holomorphic vector fields in C'm, without a separatrix, (m > 3). Ecuaciones Diferenciales, Singularidades (J. Mozo Fernandez ed.), Secretariado de publicaciones e intercambio cientffico, Universidad de Valladolid, Serie Ciencias 15, 1997, pp. 317-351. I.R. Shafarevich, Basic Algebraic Geometry Varieties in projective space, 2nd edition, Springer-Verlag, 1994. MR 95m:14001 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 2e3a1e05-10b8-4ea5-9fcc-b53bbb0168ce | |
| relation.isAuthorOfPublication.latestForDiscovery | 2e3a1e05-10b8-4ea5-9fcc-b53bbb0168ce |
Download
Original bundle
1 - 1 of 1