• Corpus ID: 239024387

Codimension one regular foliations on rationally connected threefolds

  title={Codimension one regular foliations on rationally connected threefolds},
  author={Joao Paulo Figueredo},
In his work on birational classification of foliations on projective surfaces, Brunella showed that every regular foliation on a rational surface is algebraically integrable with rational leaves. This led Touzet to conjecture that every regular foliation on a rationally connected manifold is algebraically integrable with rationally connected leaves. Druel proved this conjecture for the case of weak Fano manifolds. In this paper, we extend this result showing that Touzet’s conjecture is true for… 


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  • S. Mori
  • Mathematics, Medicine
    Proceedings of the National Academy of Sciences of the United States of America
  • 1980
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