Foliations invariant by rational maps

被引：5
|
作者：
Favre, Charles [1 ]
Pereira, Jorge Vitorio [2 ]
机构：
[1] Ecole Polytech, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France
[2] IMPA, BR-22460320 Rio De Janeiro, Brazil
来源：
MATHEMATISCHE ZEITSCHRIFT | 2011年 / 268卷 / 3-4期
关键词：
ENDOMORPHISMS;
D O I：
10.1007/s00209-010-0693-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a classification of pairs (F, phi) where F is a holomorphic foliation on a projective surface and phi is a non-invertible dominant rational map preserving F.
引用
收藏
页码：753 / 770
页数：18
相关论文
共 50 条
  • [31] On invariant manifolds and invariant foliations without a spectral gap
    Zhang, Wenmeng
    Zhang, Weinian
    ADVANCES IN MATHEMATICS, 2016, 303 : 549 - 610
  • [32] Manifolds of maps in Riemannian foliations
    Macias-Virgós, E
    Sanmartín Carbón, E
    GEOMETRIAE DEDICATA, 2000, 79 (02) : 143 - 156
  • [33] Manifolds of Maps in Riemannian Foliations
    E. Macias-Virgós
    E. Sanmartín Carbón
    Geometriae Dedicata, 2000, 79 : 143 - 156
  • [34] TORUS INVARIANT TRANSVERSE KAHLER FOLIATIONS
    Ishida, Hiroaki
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (07) : 5137 - 5155
  • [35] INVARIANT FOLIATIONS FOR RANDOM DYNAMICAL SYSTEMS
    Li, Ji
    Lu, Kening
    Bates, Peter W.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (09) : 3639 - 3666
  • [36] ON THE GEOMETRY OF A PAIR OF FOLIATIONS AND A CONFORMAL INVARIANT
    Kalina, Jerzy
    Kozlowski, Wojciech
    Pierzchalski, Antoni
    TOHOKU MATHEMATICAL JOURNAL, 2024, 76 (02) : 293 - 315
  • [37] INVARIANT GEOMETRIC STRUCTURES AND LIE FOLIATIONS
    ELKACIMIALAOUI, A
    NICOLAU, M
    INDAGATIONES MATHEMATICAE-NEW SERIES, 1990, 1 (03): : 323 - 333
  • [38] Invariant foliations and stability in critical cases
    Christian Pötzsche
    Advances in Difference Equations, 2006
  • [39] A CONFORMAL INTEGRAL INVARIANT ON RIEMANNIAN FOLIATIONS
    Wang, Guofang
    Zhang, Yongbing
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (04) : 1405 - 1414
  • [40] INVARIANT-MEASURES FOR AFFINE FOLIATIONS
    GOLDMAN, WM
    HIRSCH, MW
    LEVITT, G
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 86 (03) : 511 - 518
12345