Let F be a germ of holomorphic diffeomorphism of C-2 fixing O and such that dF(O) has eigenvalues 1 and e(itheta) with \e(itheta)\ = 1 and e(itheta) not equal 1. Introducing suitable normal forms for F we define an invariant, nu(F) greater than or equal to 2, and a generic condition, that of being dynamically separating. In the case F is dynamically separating, we prove that there exist nu(F) - 1 parabolic curves for F at O tangent to the eigenspace of 1.

Bracci, F., Molino, L. (2004). The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C-2. AMERICAN JOURNAL OF MATHEMATICS, 126(3), 671-686.

The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C-2

BRACCI, FILIPPO;
2004-01-01

Abstract

Let F be a germ of holomorphic diffeomorphism of C-2 fixing O and such that dF(O) has eigenvalues 1 and e(itheta) with \e(itheta)\ = 1 and e(itheta) not equal 1. Introducing suitable normal forms for F we define an invariant, nu(F) greater than or equal to 2, and a generic condition, that of being dynamically separating. In the case F is dynamically separating, we prove that there exist nu(F) - 1 parabolic curves for F at O tangent to the eigenspace of 1.
2004
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/03 - GEOMETRIA
English
Con Impact Factor ISI
HOLOMORPHIC DYNAMICS; ANALYTIC TRANSFORMATIONS; LOCAL-STRUCTURE; AUTOMORPHISMS TANGENT TO THE IDENTITY;
http://www.jstor.org/pss/40067953
Bracci, F., Molino, L. (2004). The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C-2. AMERICAN JOURNAL OF MATHEMATICS, 126(3), 671-686.
Bracci, F; Molino, L
Articolo su rivista
File in questo prodotto:
File Dimensione Formato  
bracci.pdf

accesso aperto

Licenza: Creative commons
Dimensione 338.08 kB
Formato Adobe PDF
338.08 kB Adobe PDF Visualizza/Apri

Questo articolo è pubblicato sotto una Licenza Licenza Creative Commons Creative Commons

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/30989
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 16
  • ???jsp.display-item.citation.isi??? 17
social impact