Xiao-lei Liu

collaborators

3 papers

math.AG2026

Deformation rigidity for projective manifolds and isotriviality of smooth families

Mu-Lin Li, Xiao-Lei Liu

Let $Ï\cln X\to Î^m$ be a proper smooth KÃ¤hler morphism from a complex manifold $X$ to the unit polydisc $I^^{m}$ . Suppose the fibers over the complement of a proper analytic subs…

math.AG2026

Donaldson-Thomas invariants of $[C^{4} / Z_{r}]$

Xiaolong Liu

We compute the zero-dimensional Donaldson-Thomas invariants of the quotient stack $[C^{4} / Z_{r}]$ , confirming a conjecture of Cao-Kool-Monavari. Our main theorem is e…

math.AG2024

Slopes of fibrations with trivial vertical fundamental groups

Xiao-Lei Liu, Xin Lu

Kodaira fibrations have non-trivial vertical fundamental groups and their slopes are all $12$ . In this paper, we show that $12$ is indeed the sharp upper bound for the slopes of fi…

Deformation rigidity for projective manifolds and isotriviality of smooth families

Donaldson-Thomas invariants of [C4/Zr​]

Slopes of fibrations with trivial vertical fundamental groups

Donaldson-Thomas invariants of $[C^{4} / Z_{r}]$