Proves Shokurov's global index conjecture for foliations on varieties of dimension at most three.
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Algebraically integrable foliations of fixed dimension and bounded adjoint volume are log birationally bounded, which implies birational boundedness for stable families of maximal variation.
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Shokurov's global index conjecture for threefold foliations
Proves Shokurov's global index conjecture for foliations on varieties of dimension at most three.
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Birational boundedness of stable families
Algebraically integrable foliations of fixed dimension and bounded adjoint volume are log birationally bounded, which implies birational boundedness for stable families of maximal variation.