3 citations · 15 across the 16 of their papers we have counts for
17 papers
Rigid and Nonrigid Isotropic Nef Classes on K3 Surfaces
Xin Fu, Zexuan Ouyang
Let be a fixed complex K3 surface and let be a -class on the boundary of the Kähler cone with . We build a novel connection between two…
On the Datar-Mete-Song minimal slope conjecture
Xin Fu
We prove a conjecture of Datar-Mete-Song \cite{DMS} characterizing -slope semi-stability by the minimal -slope. More precisely, for a semi-stable pair of Kähler classes $(α,β…
The integral cohomology rings of four-dimensional toric orbifolds
Xin Fu, Tseleung So, Jongbaek Song
Let be a 4-dimensional toric orbifold associated to a polygon and a characteristic function . Assuming that is locally smooth over a vertex of , we dete…
The generalized Kähler Calabi-Yau problem
Vestislav Apostolov, Xin Fu, Jeffrey Streets +1
We formulate an extension of the Calabi conjecture to the setting of generalized Kähler geometry. We show a transgression formula for the Bismut Ricci curvature in this setting, wh…
Uniqueness of Tangent Cone of Kahler Einstein Metrics on Singular Varieties with Crepant Singularities
Xin Fu
Let be a polarized Calabi Yau variety (or canonical polarized variety) with crepant singularity. Suppose (or ) is the unique Ricci…
Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps
Xin Fu, Hans-Joachim Hein, Xumin Jiang
Let be a negative holomorphic line bundle over an -dimensional complex torus . Let be a Hermitian metric on such that the curvature form of the dual Hermitian…
Codimension four regularity of generalized Einstein structures
Xin Fu, Aaron Naber, Jeffrey Streets
We establish codimension 4 regularity of noncollapsed sequences of metrics with bounds on natural generalizations of the Ricci tensor. We obtain a priori L2 curvature estimates on…
Dirichlet problem of complex Monge-Ampère equation near an isolated KLT singularity
Xin Fu
We solve the Dirichlet Problem of Monge-Ampère equation near an isolate Klt singularity, which generalizes the result of Eyssidieux-Guedj-Zeriahi \cite{EGZ}, where the Monge-Ampère…
Kahler-Einstein metric near an isolated log canonical singularity
Ved Datar, Xin Fu, Jian Song
We construct Kahler-Einstein metrics with negative scalar curvature near an isolated log canonical (non-log terminal) singularity. Such metrics are complete near the singularity if…
Cohomology of smooth toric varieties: naturality
Matthias Franz, Xin Fu
Building on the recent computation of the cohomology rings of smooth toric varieties and partial quotients of moment-angle complexes, we investigate the naturality properties of th…
The homotopy classification of four-dimensional toric orbifolds
Xin Fu, Tseleung So, Jongbaek Song
Let be a -dimensional toric orbifold. If has a non-trivial odd primary torsion, then we show that is homotopy equivalent to the wedge of a Moore space and a CW-…
Model category structures on multicomplexes
Xin Fu, Ai Guan, Muriel Livernet +1
We present a family of model structures on the category of multicomplexes. There is a cofibrantly generated model structure in which the weak equivalences are the morphisms inducin…
Homotopy types of partial quotients for a certain case
Xin Fu
In this paper, we determine the homotopy type of the quotient space , given by the moment-angle complex under the diagonal circle a…
On the construction of a complete Kahler-Einstein metric with negative scalar curvature near an isolated log-canonical singularity
Hanlong Fang, Xin Fu
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-Einstei…
Simplicial -complexes and representation stability of polyhedral products
Xin Fu, Jelena Grbić
Representation stability in the sense of Church-Farb is concerned with stable properties of representations of sequences of algebraic structures, in particular of groups. We study…
Geometric estimates for complex Monge-Ampere equations
Xin Fu, Bin Guo, Jian Song
We prove uniform gradient and diameter estimates for a family of geometric complex Monge-Ampere equations. Such estimates can be applied to study geometric regularity of singular s…
The Kähler-Ricci flow on Fano bundles
Xin Fu, Shijin Zhang
We study the behavior of the Kähler-Ricci flow on some Fano bundle which is a trivial bundle on one Zariski open set. We show that if the fiber is blown up at one…