Generalizes the DCC property of Iitaka volumes to real coefficients on usual pairs and establishes it for generalised pairs with natural boundedness assumptions.
Birkar, Boundedness and volume of generalised pairs, arXiv:2103.14935 (2021)
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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.
Proves generalized canonical bundle formula for lc-trivial fibrations without nef part assumption in complex analytic setting, plus algebraic counterpart.
citing papers explorer
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On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs
Generalizes the DCC property of Iitaka volumes to real coefficients on usual pairs and establishes it for generalised pairs with natural boundedness assumptions.
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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.