17 citations · 54 across the 17 of their papers we have counts for
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The minimal volume of stable surfaces of rank one
Jihao Liu, Wenfei Liu
We determine the minimal volume of a stable surface of rank one, and show that the surface attaining this minimum is unique up to isomorphism. This resolves a conjecture of Alexeev…
The minimal volume of surfaces of log general type with non-empty non-klt locus
Jihao Liu, Wenfei Liu
We show that the minimal volume of surfaces of log general type, with non-empty non-klt locus on the ample model, is . Furthermore, the ample model achieving the…
On numerically trivial automorphisms of compact hyperkähler manifolds of dimension 4
Chen Jiang, Wenfei Liu
We prove that the automorphism group of a compact hyperkähler manifold of dimension 4 acts faithfully on the cohomology ring.
On numerically trivial automorphisms of threefolds of general type
Zhi Jiang, Wenfei Liu, Hang Zhao
In this paper, we prove that the group of numerically trivial automorphisms are uniformly bounded for smooth projective threefolds of general type…
On symplectic automorphisms of elliptic surfaces acting on
Jiabin Du, Wenfei Liu
Let be a complex smooth projective surface of Kodaira dimension one. We show that the group of symplectic automorphisms acts trivially on the Albanese kerne…
On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces
Fabrizio Catanese, Wenfei Liu
In this paper, we investigate automorphisms of compact Kähler manifolds with different levels of topological triviality. In particular, we provide several examples of smooth comple…
Log surfaces of Picard rank one from four lines in the plane
Valery Alexeev, Wenfei Liu
We derive simple formulas for the basic numerical invariants of a singular surface with Picard number one obtained by blowups and contractions of the four-line configuration in the…
On numerical nonvanishing for generalized log canonical pairs
Jingjun Han, Wenfei Liu
The nonvanishing conjecture for projective log canonical pairs plays a key role in the minimal model program of higher dimensional algebraic geometry. The numerical nonvanishing co…
Simple connectedness of Fano log pairs with semi-log canonical singularities
Osamu Fujino, Wenfei Liu
We show that any union of slc strata of a Fano log pair with semi-log canonical singularities is simply connected. In particular, Fano log pairs with semi-log canonical singulariti…
The minimal volume of log surfaces of general type with positive geometric genus
Wenfei Liu
We determine the minimal possible volume of a projective log canonical surface of general type with prescribed positive geometric genus. As applications, we provide effecitive Noet…
Open surfaces of small volume
Valery Alexeev, Wenfei Liu
We construct a surface with log terminal singularities and ample canonical class that has and a log canonical pair with a nonempty reduced divisor and…
Surfaces of general type with q=2 are rigidified
Wenfei Liu
Let be a minimal smooth projective surface of general type with irregularity . We show that, if has a nontrivial holomorphic automorphism acting trivially on the cohom…
Automorphisms of surfaces of general type with q=1 acting trivially in cohomology
Jin-Xing Cai, Wenfei Liu
Let S be a complex minimal surface of general type with irregularity q(S)=1 and Aut_0(S) the subgroup of automorphisms acting trivially on the cohomology ring with rational coeffic…
Geography of Gorenstein stable log surfaces
Wenfei Liu, Sönke Rollenske
We study the geography of Gorenstein stable log surfaces and prove two inequalities for their invariants: the stable Noether inequality and the -inequality. By constructing ex…
Pluricanonical maps of stable log surfaces
Wenfei Liu, Sönke Rollenske
Stable surfaces and their log analogues are the type of varieties naturally occuring as boundary points in moduli spaces. We extend classical results of Kodaira and Bombieri to thi…
Automorphisms of surfaces of general type with q>=2 acting trivially in cohomology
Jin-Xing Cai, Wenfei Liu, Lei Zhang
A compact complex manifold X is said to be rationally cohomologically rigidified if its automorphism group Aut(X) acts faithfully on the cohomology ring H*(X,Q). In this note, we p…
The moduli space of even surfaces of general type with K^2 = 8, p_g = 4 and q = 0
Fabrizio Catanese, Wenfei Liu, Roberto Pignatelli
We settle the first step for the classification of surfaces of general type with K^2 = 8, p_g = 4 and q = 0, classifying the even surfaces (K is 2-divisible). The first even surfac…
Stable Degenerations of Surfaces Isogenous to a Product II
Wenfei Liu
In this note, we describe the possible singularities on a stable surface which is in the boundary of the moduli space of surfaces isogenous to a product. Then we use the $\mathbb Q…