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On the regularity of the Green current for semi-extremal endomorphisms of $ {P}^2 $

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  • معلومة اضافية
    • Contributors:
      Institut de Recherche Mathématique de Rennes (IRMAR); Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes); Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-INSTITUT AGRO Agrocampus Ouest; Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro); ANR-11-LABX-0020,LEBESGUE,Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation(2011)
    • بيانات النشر:
      HAL CCSD
      American Institute of Mathematical Sciences
    • الموضوع:
      2020
    • Collection:
      Université de Rennes 1: Publications scientifiques (HAL)
    • نبذة مختصرة :
      Conference on Dynamics, Equations and Applications (DEA); Location: Krakow, POLAND; Date: SEP 16-20, 2019 ; International audience ; We study the regularity of the Green current for semi-extremal endomorphisms of P-2. Under suitable assumptions, we show that the point-wise lower Radon-Nikodym derivative of stable slices with respect to the one dimensional Lebesgue measure is bounded at almost every point for the equilibrium measure. This provides a weak amount of metric regularity for the Green current along holomorphic discs.
    • Relation:
      hal-02936357; https://hal.science/hal-02936357; https://hal.science/hal-02936357/document; https://hal.science/hal-02936357/file/1078-0947_2020_12_6767.pdf
    • الرقم المعرف:
      10.3934/dcds.2020163
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.E491E159