The paper completes termination of the foliated minimal model program on threefolds and proves that terminal singularities admit first integrals and log canonical singularities admit separatrices.
Cano, Reduction of the singularities of codimension one singular foliations in dimension three, Ann
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Local and global applications of the Minimal Model Program for co-rank one foliations on threefolds
The paper completes termination of the foliated minimal model program on threefolds and proves that terminal singularities admit first integrals and log canonical singularities admit separatrices.