12 citations · 63 across the 25 of their papers we have counts for
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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…
math.AG2021★ 2 cited
On a numerical criterion for Fano fourfolds
Haidong Liu
In this paper, we prove a special case of Campana--Peternell's conjecture in dimension 4. Specifically, we show that a projective smooth fourfold with $c^2_1(X)\cdot c_2(X)\neq…
math.AG2021★ 5 cited
Strictly nef divisors on K-trivial fourfolds
Haidong Liu, Shin-ichi Matsumura
In this paper, we prove the ampleness conjecture and Serrano's conjecture for strictly nef divisors on K-trivial fourfolds. Specifically, we show that any strictly nef divisors on…