Polynomial bounds for automorphisms groups of foliations

  • Maurício Corrêa

    Universidade Federal de Minas Gerais, Belo Horizonte, Brazil
  • Alan Muniz

    Universidade Federal de Minas Gerais, Belo Horizonte, Brazil
Polynomial bounds for automorphisms groups of foliations cover

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Abstract

Let be a foliated surface and a finite group of automorphisms of that preserves . We investigate invariant loci for and obtain upper bounds for its order that depends polynomially on the Chern numbers of and . As a consequence, we estimate the order of the automorphism group of some foliations under mild restrictions. We obtain an optimal bound for foliations on the projective plane which is attained by the automorphism groups of the Jouanolou's foliations.

Cite this article

Maurício Corrêa, Alan Muniz, Polynomial bounds for automorphisms groups of foliations. Rev. Mat. Iberoam. 35 (2019), no. 4, pp. 1153–1194

DOI 10.4171/RMI/1081