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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2026 2verdicts
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Proves generalized canonical bundle formula for lc-trivial fibrations without nef part assumption in complex analytic setting, plus algebraic counterpart.
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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.
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Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting
Proves generalized canonical bundle formula for lc-trivial fibrations without nef part assumption in complex analytic setting, plus algebraic counterpart.