2 papers
math.AG2023
On the log version of Serrano's conjecture
Haidong Liu
In this paper, we continue the study of Serrano's conjecture in low dimensions. We focus on two special cases of the log version of Serrano's conjecture: the ampleness conjecture a…
math.AG2021
On the existence of rational curves on projective hyperkähler fourfolds
Haidong Liu
We show that if is a projective hyperkähler fourfold and there exists a nonzero effective divisor which is not of bi-elliptic type and contained in the boundary of the nef…