2 papers
math.AG2025
Non-algebraicity of non-abundant foliations and abundance for adjoint foliated structures
Jihao Liu, Zheng Xu
Assuming the abundance conjecture in dimension , we establish a non-algebraicity criterion of foliations: any log canonical foliation of rank with is not alge…
math.AG2025
Non-vanishing implies numerical dimension one abundance
Jihao Liu, Zheng Xu
We show that the non-vanishing conjecture implies the abundance conjecture when . We also prove the abundance conjecture in dimension when and $ν\leq…