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Keywords:

  • Holomorphic foliation;
  • holomorphic Poisson structure;
  • MSC(2010);
  • 37F75;
  • 14J45;
  • 53D17

Abstract

We classify the irreducible components of the space of foliations on Fano 3-folds with rank one Picard group. As a corollary we obtain a classification of holomorphic Poisson structures on the same class of 3-folds.