10 citations · 45 across the 28 of their papers we have counts for
28 papers
The Hermitian-Yang-Mills Iteration on Stable Bundles
Huai-Dong Cao, Xiaofeng Sun, Yingying Zhang
In this paper, based on recent results for the prescribed Hermitian-Yang-Mills (HYM) tensor and its twisted variants by Fan-Wang-Yang-Yau, we provide a dynamical construction of He…
Hodge Laplacian and geometry of Kuranishi family of Fano manifolds
Akito Futaki, Xiaofeng Sun, Yingying Zhang
We first obtain eigenvalue estimates for the Hodge Laplacian on Fano manifolds, which follow from the Bochner-Kodaira formula. Then we apply it to study the geometry of the Kuranis…
A Weil-Petersson Type Metric on the Space of Fano Kaehler-Ricci Solitons
Huai-Dong Cao, Xiaofeng Sun, Yingying Zhang
In this paper we define a Weil-Petersson type metric on the space of shrinking Kaehler-Ricci solitons and prove a necessary and sufficient condition on when it is independent of th…
Gluing support -tilting modules via symmetric ladders of height 2
Yingying Zhang
Gluing techniques with respect to a recollement have long been studied. Recently, ladders of recollements of abelian categories were introduced as important tools. We present expli…
On Deformations of Fano Manifolds
Huai-Dong Cao, Xiaofeng Sun, Shing-Tung Yau +1
In this paper we provide new necessary and sufficient conditions for the existence of Kähler-Einstein metrics on small deformations of a Fano Kähler-Einstein manifold. We also show…
Derived dimension via τ-tilting theory
Yingying Zhang
Comparing the bounded derived categories of an algebra and of the endomorphism algebra of a given support τ-tilting module, we find a relation between the derived dimensions of an…
Residue formula for an obstruction to Coupled Kähler-Einstein metrics
Akito Futaki, Yingying Zhang
We obtain a residue formula for an obstruction to the existence of coupled Kähler-Einstein metrics described by Futaki-Zhang. We apply it to an example studied separately by Futaki…
A construction of support -tilting modules over -tilting finite algebras
Yingying Zhang
The notion of (semi)bricks, regarded as a generalization of (semi)simple modules, appeared in a paper of Ringel in 1976. In recent years, there has been several new developments mo…
Coupled Sasaki-Ricci solitons
Akito Futaki, Yingying Zhang
Motivated by the study of coupled Kähler-Einstein metrics by Hultgren and Witt Nyström and coupled Kähler-Ricci solitons by Hultgren, we study in this paper coupled Sasaki-Einstein…
A Liouville-type theorem and Bochner formula for harmonic maps into metric spaces
Brian Freidin, Yingying Zhang
We study analytic properties of harmonic maps from Riemannian polyhedra into CAT() spaces for . Locally, on each top-dimensional face of the domain, this amounts to…
Reduction of wide subcategories and recollements
Yingying Zhang
In this paper, we prove a reduction result on wide subcategories of abelian categories which is similar to Calabi-Yau reduction, silting reduction and -tilting reduction. More p…
Conflict-free vertex-connections of graphs
Xueliang Li, Yingying Zhang, Xiaoyu Zhu +2
A path in a vertex-colored graph is called \emph{conflict free} if there is a color used on exactly one of its vertices. A vertex-colored graph is said to be \emph{conflict-free ve…
Total proper connection and graph operations
Yingying Zhang, Xiaoyu Zhu
A graph is said to be {\it total-colored} if all the edges and vertices of the graph are colored. A path in a total-colored graph is a {\it total proper path} if any two adja…
Proper vertex connection and graph operations
Yingying Zhang, Xiaoyu Zhu
A path in a vertex-colored graph is a {\it vertex-proper path} if any two internal adjacent vertices differ in color. A vertex-colored graph is {\it proper vertex -connected} if…
Excellent extensions and homological conjectures
Yingying Zhang
In this paper, we introduce the notion of excellent extension of rings. Let be an excellent extension of an artin algebra , we prove that satisfies the Gorenstein symmet…
Existence of harmonic maps into CAT(1) spaces
Christine Breiner, Ailana Fraser, Lan-Hsuan Huang +3
Let where is a compact Riemann surface, is a compact locally CAT(1) space, and is defined as in Korevaar-Schoen. We use the tec…
Erdős-Gallai-type results for total monochromatic connection of graphs
Hui Jiang, Xueliang Li, Yingying Zhang
A graph is said to be {\it total-colored} if all the edges and the vertices of the graph are colored. A total-coloring of a graph is a {\it total monochromatically-connecting color…
Regularity of Harmonic Maps from Polyhedra to CAT(1) Spaces
Christine Breiner, Ailana Fraser, Lan-Hsuan Huang +3
We determine regularity results for energy minimizing maps from an -dimensional Riemannian polyhedral complex into a CAT(1) space. Provided that the metric on is Lipschi…
On mutation of τ-tilting modules
Yingying Zhang
Mutation of τ-tilting modules is a basic operation to construct a new support τ-tilting module from a given one by replacing a direct summand. The aim of this paper is to give a po…
More on total monochromatic connection of graphs
Hui Jiang, Xueliang Li, Yingying Zhang
A graph is said to be {\it total-colored} if all the edges and the vertices of the graph are colored. A total-coloring of a graph is a {\it total monochromatically-connecting color…
G-stable support -tilting modules
Yingying Zhang, Zhaoyong Huang
Motivated by -tilting theory developed by Adachi, Iyama and Reiten, for a finite-dimensional algebra with action by a finite group , we introduce the notion of -stable…
Total monochromatic connection of graphs
Hui Jiang, Xueliang Li, Yingying Zhang
A graph is said to be {\it total-colored} if all the edges and the vertices of the graph are colored. A path in a total-colored graph is a {\it total monochromatic path} if all the…
Total proper connection of graphs
Hui Jiang, Xueliang Li, Yingying Zhang
A graph is said to be {\it total-colored} if all the edges and the vertices of the graph is colored. A path in a total-colored graph is a {\it total proper path} if any two a…
On (strong) proper vertex-connection of graphs
Hui Jiang, Xueliang Li, Yingying Zhang +1
A path in a vertex-colored graph is a {\it vertex-proper path} if any two internal adjacent vertices differ in color. A vertex-colored graph is {\it proper vertex -connected} if…