Automorphism Groups Of The Real Projective Plane With Holes And Their Conjugacy Classes Within Its Mapping Class Group
| dc.contributor.author | Gamboa Mutuberria, José Manuel | |
| dc.contributor.author | Bujalance, E. | |
| dc.contributor.author | Cirre, F.J. | |
| dc.date.accessioned | 2023-06-20T09:34:15Z | |
| dc.date.available | 2023-06-20T09:34:15Z | |
| dc.date.issued | 2005 | |
| dc.description.abstract | For each integer g ≥ 2 we give the complete list of groups acting as a group of dianalytic automorphisms of a real projective plane with g holes, which, in algebraic terms, correspond to birational automorphisms of real algebraic (M − 1)-curves. We also determine those acting as the full group of automorphisms of such a surface. Furthermore, the conjugacy classes of the finite subgroups of its mapping class group are calculated. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | BFM2002-04801;RAAG HPRN-CT-2001-00271;GAAR BFM2002-04797 | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15250 | |
| dc.identifier.doi | 10.1007/s00208-004-0621-3 | |
| dc.identifier.issn | 0025-5831 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/embu8cnk18xc0c1w/fulltext.pdf | |
| dc.identifier.relatedurl | http://www.springer.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/49931 | |
| dc.issue.number | 2 | |
| dc.journal.title | Mathematische Annalen | |
| dc.language.iso | eng | |
| dc.page.final | 275 | |
| dc.page.initial | 253 | |
| dc.publisher | Springer | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.547, 515.172 | |
| dc.subject.keyword | family of automorphism groups of compact non-orientable Klein surfaces with boundary components | |
| dc.subject.keyword | real algebraic curves | |
| dc.subject.keyword | ovals | |
| dc.subject.keyword | finite subgroups of mapping class groups of a non-orientable surface | |
| dc.subject.keyword | conjugacy classes | |
| dc.subject.keyword | representatives | |
| dc.subject.keyword | non-equivalent marked signatures | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Automorphism Groups Of The Real Projective Plane With Holes And Their Conjugacy Classes Within Its Mapping Class Group | |
| dc.type | journal article | |
| dc.volume.number | 332 | |
| dcterms.references | Ahlfors, L.V.: The complex analytic structure of the space of closed Riemann surfaces. In: Rolf Nevanlinna et al., (ed.), Analytic functions. Princeton University Press, 1960, pp. 45–66 Alling, N.L., Greenleaf, N.: Foundations of the Theory of Klein Surfaces. Lecture Notes in Math. 219, Springer, 1971 Birman, J.S., Chillingworth, D.R.J.: On the homeotopy group of a non-orientable surface. Proc. Cambridge Phil. Soc. 71, 437–448 (1972) Bujalance, E.: Automorphism groups of compact planar Klein surfaces. Manuscripta Math. 56, 105–124 (1986) Bujalance, E., Bujalance, J.A., Gromadzki, G.,Mart´ınez, E.: Cyclic trigonal Klein surfaces. J. Algebra 159(2), 436–459 (1993) Bujalance, E., Etayo, J.J., Gamboa, J.M., Gromadzki, G.: Automorphisms Groups of Compact Bordered Klein Surfaces. Lecture Notes in Math. 1439, Springer-Verlag, Berlin Heidelberg, 1990 Bujalance, E., Gamboa, J.M., Gromadzki, G.: The full automorphism groups of hyperelliptic Riemann surfaces. Manuscripta. Math. 79, 267–282 (1993) Cirre, F.J.: Automorphism groups of real algebraic curves which are double covers of the real projective plane. Manuscripta Math. 101, 495–512 (2000) Cirre, F.J.: On the moduli of real algebraic curves of genus 2. Pacific J. Math. 208(1), 53–72 (2003) 10. Earle, C.J.: On moduli of closed Riemann surfaces with symmetries. Ann. Math. Studies, no. 66, (Princeton, 1971), pp. 119–130 Kerckhoff, S.P.: The Nielsen realization problem. Ann. Math. 117, 235–265 (1983) Gillete, R., Van Buskirk, J.: The word problem and consequences for the braid groups and mapping-class groups of the 2-sphere. Trans. Am. Math. Soc. 131, 277–296 (1968) Harvey, W.J.: On branch loci in Teichm¨uller space. Trans. Am. Math. Soc. 153, 387–399 (1971) Macbeath, A.M.: The classification of non-euclidean plane crystallographic groups. Can. J. Math. 19, 1192–1205 (1967) Macbeath, A.M., Singerman, D.: Spaces of subgroups and Teichm¨uller space. Proc. London Math. Soc. 31(3), 211–256 (1975) Maclachlan, C., Harvey, W.J.: On mapping class groups and Teichm¨uller spaces. Proc. London Math. Soc. 30(3), 496–512 (1975) Natanzon, S.M.: Finite groups of homeomorphisms of a surface and real forms of complex algebraic curves. Trans. Moscow Math. Soc. 51, 1–51 (1989) Oikawa, K.: Notes on conformal mappings of a Riemann surface onto itself. Kodai Math. Sem. Rep. 8, 23–30 (1956);A supplement to “Notes on conformal mappings of a Riemann surface onto itself”. ibid. 8, 115–116 (1956) Teichm¨uller, O.: Extremale quasikonforme Abbildungen und quadratische Differentiale. Preuss. Akad. 22, 1940 Teichm¨uller, O.: Bestimmung der extremalen quasikonformen Abbildungen bei geschlossenen orientierten Riemannschen Fl¨achen. Preuss. Akad. 4, 1943 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8fcb811a-8d76-49a2-af34-85951d7f3fa5 | |
| relation.isAuthorOfPublication.latestForDiscovery | 8fcb811a-8d76-49a2-af34-85951d7f3fa5 |
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