Summability condition and rigidity for finite type maps

• Autores: Matthieu Astorg
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 23, Nº 1, 2022, págs. 399-423
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We give a bound on the dimension of the Teichmuller space of a finite ¨ type map in terms of the number of summable singular values and finite singular orbits. This generalizes rigidity results due to Makienko, Dominguez and Sienra, and Urbanski and Zdunik. We also recover a shorter proof of a transversality theorem due to Levin. Our methods are based on the deformation theory introduced by Epstein.