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Unbounded components in parameter space of rational maps
Author(s):
Peter
M.
Makienko
Journal:
Conform. Geom. Dyn.
4
(2000),
1-21.
MSC (2000):
Primary 37F45;
Secondary 37F30
Posted:
February 23, 2000
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Abstract:
Using pinching deformations of Riemann surfaces, we give several sufficient criteria for the space of quasiconformal deformations of rational map  of degree  to have non-compact closure in the space  of rational maps of degree  modulo conjugation by Möbius transformations.
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Additional Information:
Peter
M.
Makienko
Affiliation:
Institute for Applied Mathematics, Shevchenko str. 9, Khabarovsk, 680 000, Russia
Address at time of publication:
Instituto de Matematicas Unidad Cuernavaca, Universidad Nacional Autonoma de Mexico, A.P. 273-3 Admon. de Correos #3, 62251 Cuernavaca, Morelos, Mexico
Email:
makienko@iam.khv.ru, makienko@matcuer.unam.mx
DOI:
10.1090/S1088-4173-00-00044-8
PII:
S 1088-4173(00)00044-8
Received by editor(s):
December 27, 1998
Received by editor(s) in revised form:
September 14, 1999
Posted:
February 23, 2000
Additional Notes:
This work has been partially supported by the Russian Fund of Basic Researches, Grant 99-01-01006
Copyright of article:
Copyright
2000,
American Mathematical Society
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