Dynamics of meromorphic mappings with small topological degree II: Energy and invariant measure

• Autores: Jeffrey Diller, Romain Dujardin, Vincent Guedj
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 86, Nº 2, 2011, págs. 277-316
• Idioma: inglés
• DOI: 10.4171/cmh/224
• Texto completo no disponible (Saber más ...)
• Resumen

  • We continue our study of the dynamics of meromorphic mappings with small topological degree ?2(f)

    Our hypotheses are always satisfied when X has Kodaira dimension zero, or when the mapping is induced by a polynomial endomorphism of C2. They are new even in the birational case (?2(f)=1). We also exhibit families of mappings where our assumptions are generically satisfied and show that if counterexamples exist, the corresponding measure must give mass to a pluripolar set.