5 papers
Observability and Semiclassical Control for Schrödinger Equations on Non-compact Hyperbolic Surfaces
Xin Fu, Yulin Gong, Yunlei Wang
We study the observability of the Schrödinger equation on , a non-compact covering space of a compact hyperbolic surface . Using a generalized Bloch theory, functions on …
Orbifold Bogomolov-Gieseker inequalities on compact Kähler varieties
Xin Fu, Wenhao Ou
In a previous paper, the orbifold Bogomolov-Gieseker inequality is proved for a stable reflexive sheaf on a compact Kähler variety with klt singularities. In this paper, we give a…
Variation of Kahler-Einstein metrics with mixed singularities
Xin Fu, Jiyuan Han, Yongpan Zou
In this short note, we consider a fiberation f: (X, Delta) to Y between two compact Kahler manifolds with generic fiber of f being a smooth log canonical pair with ample canonical…
Path homology of digraphs without multisquares and its comparison with homology of spaces
Xin Fu, Sergei O. Ivanov
For a digraph without multisquares and a field , we construct a basis of the vector space of path -chains for , generalising the bas…
A continuous cusp closing process for negative Kähler-Einstein metrics
Xin Fu, Hans-Joachim Hein, Xumin Jiang
We give an example of a family of smooth complex algebraic surfaces of degree in developing an isolated elliptic singularity. We show via a gluing construction…