Linsheng Wang

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20212026

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Showing 2024 · math.AGShow all

4 papers · 2 filters

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

math.AG2024

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…

math.AG2024

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.AG2024

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…