Jie Liu

activity

20182021

most citedProjective manifolds whose tangent bundle contains a strictly nef subsheaf

4 citations · 4 across the 3 of their papers we have counts for

collaborators

7 papers

math.AG2021

Fano manifolds with big tangent bundle: a characterisation of $V_{5}$

Andreas Höring, Jie Liu

Let X be a Fano manifold with Picard number one such that the tangent bundle T_X is big. If X admits a rational curve with trivial normal bundle, we show that X is isomorphic to th…

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.AG2020

Examples of Fano manifolds with non-pseudoeffective tangent bundle

Andreas Höring, Jie Liu, Feng Shao

Let $X$ be a Fano manifold. While the properties of the anticanonical divisor $- K_{X}$ and its multiples have been studied by many authors, the positivity of the tangent bundle $T_{X}$ …

math.RT2019

Odd singular vector formula for general linear Lie superalgebras

Jie Liu, Li Luo, Weiqiang Wang

We establish a closed formula for a singular vector of weight $λ - β$ in the Verma module of highest weight $λ$ for Lie superalgebra $gl (m ∣ n)$ when $λ$ is atypical with re…

math.AG2018

Note on quasi-polarized canonical Calabi-Yau threefolds