Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair
| dc.book.title | Real and complex singularities | |
| dc.contributor.author | Fernández de Bobadilla de Olarzábal, Javier José | |
| dc.contributor.author | Luengo Velasco, Ignacio | |
| dc.contributor.author | Melle Hernández, Alejandro | |
| dc.contributor.author | Némethi, A. | |
| dc.contributor.editor | Brasselet, J.P. | |
| dc.contributor.editor | Ruas, Mas | |
| dc.date.accessioned | 2023-06-20T13:38:22Z | |
| dc.date.available | 2023-06-20T13:38:22Z | |
| dc.date.issued | 2007 | |
| dc.description | Conference: 8th Workshop on Real and Complex Singularities Location: Luminy, France Date: Jul. 19-23, 2004 | |
| dc.description.abstract | It is a very old and interesting open problem to characterize those collections of embedded topological types of local plane curve singularities which may appear as singularities of a projective plane curve C of degree d. The goal of the present article is to give a complete (topological) classification of those cases when C is rational and it has a unique singularity which is locally irreducible (i.e., C is unicuspidal) with one Puiseux pair. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Netherlands Organization for Scientific Research (NWO) | |
| dc.description.sponsorship | NSF | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16589 | |
| dc.identifier.doi | 10.1007/978-3-7643-7776-2_4 | |
| dc.identifier.isbn | 3-7643-7775-5 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/rr01708165063370/ | |
| dc.identifier.relatedurl | http://www.springerlink.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/53147 | |
| dc.language.iso | eng | |
| dc.page.final | 45 | |
| dc.page.initial | 31 | |
| dc.page.total | 11 | |
| dc.publication.place | Birkhauser Boston, 675 Massachusetts Ave, Cambridge, Ma 02139-2333 Usa | |
| dc.publisher | Birkhauser Boston | |
| dc.relation.ispartofseries | Trends in Mathematics | |
| dc.relation.projectID | BFM2001-1488-C02-01 | |
| dc.relation.projectID | DMS-0304759 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | Cuspidal rational plane curves | |
| dc.subject.keyword | Logarithmic Kodaira dimension | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair | |
| dc.type | book part | |
| dcterms.references | Fernández de Bobadilla J., Luengo I., Melle-Hernández A., Némethi A.: On rational cuspidal projective plane curves, preprint at arXiv:math.AG/0410611. Dimca, A.: Singularities and Topology of Hypersurfaces, Universitext, Springer-Verlag, New York, 1992. Fujita, T.: On the topology of non-complete algeraic surfaces, J. Fac. Sci. Univ. Tokyo (Ser1A), 29 (1982), 503-566. Kashiwara, H.: Fonctions rationelles de type (0,1) sur le plan projectif complexe, Osaka J. Math., 24 (1987), 521-577. Namba, M.: Geometry of projective algebraic curves. Monographs and Textbooks in Pure and Applied Mathematics, 88 Marcel Dekker, Inc., New York, 1984. Orevkov, S. Yu.: On rational cuspidal curves, I. Sharp estimate for degree via multiplicities, Math. Ann. 324 (2002), 657-673. Matsuoka, T. and Sakai, F.: The degree of of rational cuspidal curves, Math. Ann., 285 (1989), 233-247. Tono, K.: On rational unicuspidal plane curves with logarithmic Kodaira dimension one, preprint. Tsunoda, Sh.: The complements of projective plane curves, RIMS-Kôkyûroku, 446 (1981), 48-56. Vajda, S.: Fibonacci and Lucas numbers, and the Golden Section: Theory and Applications, Ellis Horwood Series: Mathematics and its Applications. Ellis Horwood Ltd., Chichester; Halsted Press New York, 1989. Varchenko, A.N.: On the change of discrete characteristics of critical points of functions under deformations, Uspekhi Mat. Nauk, 38:5 (1985), 126-127. Varchenko, A. N. : Asymptotics of integrals and Hodge structures.Science rewievs:current problems in mathematics 1983. 22, 130-166; J. Sov. Math. 27 (1984). Wall, C.T.C.: Singular Points of Plane Curves, London Math. Soc. Student Texts 63, Cambridge University Press, 2004. Yoshihara, Y.: Rational curves with one cusp (in Japanese), Sugaku, 40 (1988), 269–271. | |
| dspace.entity.type | Publication | |
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| relation.isAuthorOfPublication | c5f952f6-669f-4e3d-abc8-76d6ac56119b | |
| relation.isAuthorOfPublication.latestForDiscovery | 2e3a1e05-10b8-4ea5-9fcc-b53bbb0168ce |
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