Wenhao Ou

activity

20132025

most citedCodimension one foliations with trivial canonical class on singular spaces II

6 citations · 23 across the 15 of their papers we have counts for

collaborators

17 papers

math.AG2025

Orbifold Chern classes and Bogomolov-Gieseker inequalities

Wenhao Ou

Assume that $X$ is a compact complex analytic variety which has quotient singularities in codimension 2, and that $F$ is a reflexive sheaf on $X$ . Using orbifold modifica…

math.AG2024

Orbifold modifications of complex analytic varieties

Wenhao Ou

We prove that if $X$ is a compact complex analytic variety, which has quotient singularities in codimension 2, then there is a projective bimeromorphic morphism $f : Y \to X$ , s…

math.AG2023★ 1 cited

On the Log Abundance for Compact {K{ä}hler} threefolds II

Omprokash Das, Wenhao Ou

In this article we show that if $(X, Δ)$ is a log canonical compact Kähler threefold pair such that $K_{X} + Δ$ is nef and the numerical dimension $ν (X, K_{X} + Δ) = 2$ , then $K_{X} + Δ$ is semi…

math.AG2022★ 1 cited

Admissible metrics on compact Kähler varieties

Wenhao Ou

Let $X$ be a normal compact Kähler variety, and $F$ a coherent reflexive sheaf on $X$ . We investigate the existence of admissible Hermitian metrics on $F$ . If m…

math.AG2022★ 1 cited

On the Log Abundance for Compact Kähler $3$ -folds

Omprokash Das, Wenhao Ou

In this article we show that if $(X, Δ)$ is a log canonical compact Kähler $3$ -fold such that $K_{X} + Δ$ is nef and the numerical dimension $ν (K_{X} + Δ) \neq = 2$ , then $K_{X} + Δ$ is semi-ampl…

math.AG2021★ 5 cited

Algebraic fibre spaces with strictly nef relative anti-log canonical divisor

Jie Liu, Wenhao Ou, Juanyong Wang +2

Let $(X, Δ)$ be a projective klt pair, and $f : X \to Y$ a fibration to a smooth projective variety $Y$ with strictly nef relative anti-log canonical divisor $- (K_{X / Y} + Δ)$ . We prove t…

math.AG2021

Foliations whose first Chern class is nef

Wenhao Ou

Let $F$ be a foliation on a projective manifold $X$ with $- K_{F}$ nef. Assume that either $F$ is regular, or it has a compact leaf. We prove that ther…

math.AG2020

Strictly nef vector bundles and characterizations of $P^{n}$

Jie Liu, Wenhao Ou, Xiaokui Yang

In this note, we give a brief exposition on the differences and similarities between strictly nef and ample vector bundles, with particular focus on the circle of problems surround…

math.AG2020★ 4 cited

Projective manifolds whose tangent bundle contains a strictly nef subsheaf

Jie Liu, Wenhao Ou, Xiaokui Yang

Suppose that $X$ is a projective manifold whose tangent bundle $T_{X}$ contains a locally free strictly nef subsheaf. We prove that $X$ is isomorphic to a projective bundle over a hy…

math.AG2019★ 6 cited

Codimension one foliations with trivial canonical class on singular spaces II

Stéphane Druel, Wenhao Ou

In this article, we give the structure of codimension one foliations with canonical singularities and numerically trivial canonical class on varieties with klt singularities. Build…

math.AG2018

On Fano manifolds of Picard number one with big automorphism groups

Baohua Fu, Wenhao Ou, Junyi Xie

Let $X$ be an $n$ -dimensional smooth Fano complex variety of Picard number one. Assume that the VMRT at a general point of $X$ is smooth irreducible and non-degenerate (which holds…

math.AG2018

On projective varieties with strictly nef tangent bundles

Duo Li, Wenhao Ou, Xiaokui Yang

In this paper, we study smooth complex projective varieties $X$ such that some exterior power $⋀^{r} T_{X}$ of the tangent bundle is strictly nef. We prove that such varieties…

math.AG2017

On generic nefness of tangent sheaves

Wenhao Ou

We show that the tangent bundle of a projective manifold with nef anticanonical class is generically nef. That is, its restriction to a curve cut out by general sufficiently ample…

math.AG2015

Fano varieties with $Nef (X) = Psef (X)$ and $ρ (X) = dim X - 1$

Wenhao Ou

We classify mildly singular Fano varieties $X$ such that $Nef (X) = Psef (X)$ and that the Picard number of $X$ is equal to the dimension of $X$ minus $1$ .

math.AG2014

Lagrangian fibrations on symplectic fourfolds

Wenhao Ou

We prove that there are at most two possibilities for the base of a Lagrangian fibration from a complex projective irreducible symplectic fourfold.

math.AG2014★ 1 cited

Singular rationally connected threefolds with non-zero pluri-forms

Wenhao Ou

This paper is concerned with singular projective rationally connected threefolds $X$ which carry non-zero pluri-forms, \textit{i.e.} $H^{0} (X, (Ω_{X}^{1})^{[\otimes m]}) \neq = {0}$ for s…

math.AG2013★ 4 cited

Singular rationally connected surfaces with non-zero pluri-forms

Wenhao Ou

This paper is concerned with projective rationally connected surfaces $X$ with canonical singularities and having non-zero pluri-forms, i.e. $(Ω_{X}^{1})^{[\otimes m]}$ has non-zero gl…

Orbifold Chern classes and Bogomolov-Gieseker inequalities

Orbifold modifications of complex analytic varieties

On the Log Abundance for Compact {K{ä}hler} threefolds II

Admissible metrics on compact Kähler varieties

On the Log Abundance for Compact Kähler 3-folds

Algebraic fibre spaces with strictly nef relative anti-log canonical divisor

Foliations whose first Chern class is nef

Strictly nef vector bundles and characterizations of Pn

Projective manifolds whose tangent bundle contains a strictly nef subsheaf

Codimension one foliations with trivial canonical class on singular spaces II

On Fano manifolds of Picard number one with big automorphism groups

On projective varieties with strictly nef tangent bundles

On generic nefness of tangent sheaves

Fano varieties with Nef(X)=Psef(X) and ρ(X)=dimX−1

Lagrangian fibrations on symplectic fourfolds

Singular rationally connected threefolds with non-zero pluri-forms

Singular rationally connected surfaces with non-zero pluri-forms

On the Log Abundance for Compact Kähler $3$ -folds

Strictly nef vector bundles and characterizations of $P^{n}$

Fano varieties with $Nef (X) = Psef (X)$ and $ρ (X) = dim X - 1$