Linsheng Wang

collaborators

6 papers

math.AG2026

K-stability of special Gushel-Mukai manifolds

Yuchen Liu, Linsheng Wang

Gushel-Mukai manifolds are specific families of $n$ -dimensional Fano manifolds of Picard rank $1$ and index $n - 2$ where $3 \leq n \leq 6$ . A Gushel-Mukai $n$ -fold is either ordinary…

math.AG2026

Optimal Degenerations of K-unstable Fano threefolds

Minghao Miao, Linsheng Wang

We explicitly determine the optimal degenerations of Fano threefolds $X$ in family No 2.23 of Mori-Mukai's list as predicted by the Hamilton-Tian conjecture. More precisely, we fin…

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 $H$ -invariant for filtrations over a log Fano…

math.AG2026

K-polystability and reduced uniform K-stability of log Fano cone singularities

Linsheng Wang

We prove that a log Fano cone $(X, I^, I^¾_{0})$ satisfying $I^´_{T} (X, I^, I^¾_{0}) \geq 1$ is K-polystable for normal test configurations if and only if it is K-polystable for special…

math.AG2025

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 $g : R \to R_{> 0}$ with ${\rm log}\circ…

math.AG2025

A valuative criterion of K-polystability

Linsheng Wang

For any log Fano pair with a torus action, we associate a computable invariant to it, such that the pair is (weighted) K-polystable if and only if this invariant is greater than on…