Under a global generation condition on the log tangent sheaf, rank-1 log canonical foliations on log canonical pairs admit a log canonical divisor Γ satisfying K_X + Γ ~ K_F + D.
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Proves bounds on automorphism groups and invariant curve degrees for adjoint general type foliated surfaces together with boundedness of their ε-adjoint canonical models of fixed volume.
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Rank one foliations on toroidal varieties
Under a global generation condition on the log tangent sheaf, rank-1 log canonical foliations on log canonical pairs admit a log canonical divisor Γ satisfying K_X + Γ ~ K_F + D.
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Effective generation for foliated surfaces: results and applications
Proves bounds on automorphism groups and invariant curve degrees for adjoint general type foliated surfaces together with boundedness of their ε-adjoint canonical models of fixed volume.