Xiaokui Yang

activity

20102020

most citedProjective manifolds whose tangent bundle contains a strictly nef subsheaf

4 citations · 11 across the 6 of their papers we have counts for

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4 papers · 1 filter

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.AG2018

Logarithmic vanishing theorems for effective $q$ -ample divisors

Kefeng Liu, Xueyuan Wan, Xiaokui Yang

Let $X$ be a compact Kähler manifold and $D$ be a simple normal crossing divisor. If $D$ is the support of some effective $k$ -ample divisor, we show $$ H^q(X,Ω^p_X(\log D))=0,\quad…

math.AG2018

RC-positive metrics on rationally connected manifolds

Xiaokui Yang

In this paper, we prove that if a compact Kähler manifold $X$ has a smooth Hermitian metric $ω$ such that $(T_{X}, ω)$ is uniformly RC-positive, then $X$ is projective and rationally…

Strictly nef vector bundles and characterizations of Pn

Projective manifolds whose tangent bundle contains a strictly nef subsheaf

Logarithmic vanishing theorems for effective q-ample divisors

RC-positive metrics on rationally connected manifolds

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

Logarithmic vanishing theorems for effective $q$ -ample divisors