4 papers
math.AG2026
Stable Degenerations of log Fano Fibration Germs
Jiyuan Han, Minghao Miao, Lu Qi +2
We prove the stable degeneration conjecture of log Fano fibration germs formulated by Sun-Zhang. Precisely, we introduce the -invariant for filtrations over a log Fano…
math.AG2025
K-polystability and reduced uniform K-stability of log Fano cone singularities
Linsheng Wang
We prove that a log Fano cone satisfying is K-polystable for normal test configurations if and only if it is K-polystable for special test…
math.AG2024
Generalized optimal degenerations of Fano varieties
Linsheng Wang
We prove a generalization of the algebraic version of Tian conjecture. Precisely, for any smooth strictly increasing function with ${\rm log}\circ…
math.AG2021
Dimension four simply connected Voisin manifolds
Linsheng Wang
Voisin constructed a series of examples concerning simply connected compact Kähler manifolds of even dimensions, which do not have the rational homotopy type of a complex projectiv…