Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Fang, Hanlong"'
Autor:
Fang, Hanlong, Wu, Xian
In this paper, we develop a simple uniform picture incorporating the Kausz compactifications and the spaces of complete collineations by blowing up Grassmannians $G(p,n)$ according to a torus action $\mathbb G_m$. We show that each space of complete
Externí odkaz:
http://arxiv.org/abs/2411.10763
This paper is concerned with the problem of constructing a smooth Levi-flat hypersurface locally or globally attached to a real codimension two submanifold in $\mathbb C^{n+1}$, or more generally in a Stein manifold, with elliptic CR singularities, a
Externí odkaz:
http://arxiv.org/abs/2409.08470
Autor:
Fang, Hanlong, Zhang, Mingyi
We give a linear algebraic construction of the Lafforgue spaces associated to the Grassmannians $G(2,n)$ by blowing up certain explicitly defined monomial ideals, which sharpens and generalizes a result of Faltings. As an application, we provide a fa
Externí odkaz:
http://arxiv.org/abs/2310.17367
Denote by $SL_n(\mathbb R)$ the group of $n\times n$ real matrices with determinant one, $A$ the subgroup consisting of the diagonal matrices with positive entries, and $SL_n(\mathbb R)/A$ the manifold of left cosets $gA$, $g\in SL_n(\mathbb R)$. In
Externí odkaz:
http://arxiv.org/abs/2301.00529
Autor:
Fang, Hanlong, Zhu, Songhao
Let $\mathcal T_{s,p,n}$ be the canonical blow-up of the Grassmann manifold $G(p,n)$ constructed by blowing up the Pl\"ucker coordinate subspaces associated with the parameter $s$. We prove that the higher cohomology groups of the tangent bundle of $
Externí odkaz:
http://arxiv.org/abs/2108.11069
Autor:
Fang, Hanlong
We introduce certain canonical blow-ups $\mathcal T_{s,p,n}$, as well as their distinct submanifolds $\mathcal M_{s,p,n}$, of Grassmann manifolds $G(p,n)$ by partitioning the Pl\"ucker coordinates with respect to a parameter $s$. Various geometric as
Externí odkaz:
http://arxiv.org/abs/2007.06200
Autor:
Fang, Hanlong
In this paper, we give a combinatorial formula for the \v{C}ech cocycles representing the power sums of the Chern roots of a holomorphic vector bundle over a complex manifold. By an observation motivation by author's previous paper, we also construct
Externí odkaz:
http://arxiv.org/abs/1812.08968
Autor:
Fang, Hanlong, Fu, Xin
In this short note we are concerned with the Kahler-Einstein metrics near cone type log canonical singularities. By two different approaches, we construct a complete Kahler-Einstein metric with negative scalar curvature in a neighborhood of the cone
Externí odkaz:
http://arxiv.org/abs/1810.05194
Autor:
Fang, Hanlong
An old theorem of Weil and Kodaira says that for a compact K\"ahler manifold $X$ there is a closed logarithmic $1$-form with residue divisor $D$ if and only if $D$ is homologous to zero in $H_{2n-2}(X,\mathbb C)$. In the first part of this paper, we
Externí odkaz:
http://arxiv.org/abs/1808.00780
Autor:
Fang, Hanlong, Huang, Xiaojun
This paper continues the previous studies in two papers of Huang-Yin [HY3-4] on the flattening problem of a CR singular point of real codimension two sitting in a submanifold in ${\mathbb C}^{n+1}$ with $n+1\ge 3$, whose CR points are non-minimal. Pa
Externí odkaz:
http://arxiv.org/abs/1703.09135