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Conformal Geometry and Dynamics

Published by the American Mathematical Society since 1997, the purpose of this electronic-only journal is to provide a forum for mathematical work in related fields broadly described as conformal geometry and dynamics. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.49.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Construction of vector fields and Riccati foliations associated to groups of projective automorphisms
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by Fabio Santos and Bruno Scárdua
Conform. Geom. Dyn. 14 (2010), 154-166
Published electronically: June 2, 2010


Our main result states that given a finitely generated subgroup $G$ of $\operatorname {Aut}(\mathbb {C} P (2))$, there is an algebraic foliation $\mathcal {F}$ on a complex projective $3$-manifold $M^3$ with a bundle structure over $\mathbb {C} P(1)$ and fiber $\mathbb {C} P(2)$, such that $\mathcal {F}$ is transverse to almost every fiber of the bundle and with global holonomy conjugate to $G$.
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Bibliographic Information
  • Fabio Santos
  • Affiliation: Departamento de Geometria, Instituto de Matemática, Universidade Federal Fluminense, Niteroi, Rio de Janeiro 24.020-140, Brazil
  • Email:
  • Bruno Scárdua
  • Affiliation: Instituto de Matematica, Universidade Federal do Rio de Janeiro, CP. 68530-Rio de Janeiro-RJ, 21945-970, Brazil
  • Email:
  • Received by editor(s): August 27, 2009
  • Published electronically: June 2, 2010
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 14 (2010), 154-166
  • MSC (2010): Primary 37F75, 32S65; Secondary 32M25, 32M05
  • DOI:
  • MathSciNet review: 2652067