3 papers
math.AG2026
An equivariant fixed-level Demailly identity for Fano manifolds
Jihao Liu, Sheng Qin
Jin and Rubinstein asked whether the fixed-level equivariant Tian's alpha invariant equals the fixed-level equivariant global log canonical threshold, and proved this equality for…
math.AG2026
Boundedness of total Cartier indices for rational singularities in families
Jihao Liu, Ruicheng Hu, Sheng Qin
We show that the total Cartier index of varieties with rational singularities in a bounded family is bounded. This solves a problem of Han and Jiang. The overall structure of the p…
math.AG2026
Shokurov's global index conjecture for threefold foliations
Jihao Liu, Sheng Qin
We prove Shokurov's global index conjecture for foliations in dimension at most three. This answers a question of the first author, Meng, and Xie in dimension three. The main resul…