10 citations · 33 across the 19 of their papers we have counts for
20 papers
Rigidity and ε-regularity theorems of Ricci shrinkers
Jie Wang, Youde Wang
In this paper, we study the rigidity and ε-regularity theorems of Ricci shrinkers. First we prove the rigidity of the asymptotic volume ratio and local volume around a base point o…
Gradient Estimates For and its Parabolic Counterpart Under Integral Ricci Curvature Bounds
Jie Wang, Youde Wang
In this paper, we consider a class of important nonlinear elliptic equations on a collapsed complete Riemannian manifold and its parabolic counterp…
A class of quotient spaces in strongly topological gyrogroups
Meng Bao, Jie Wang, Xiaoquan Xu
Quotient space is a class of the most important topological spaces in the research of topology. In this paper, we show that if G is a strongly topological gyrogroup with a symmetri…
Gradient estimates for a class of elliptic and parabolic equations on Riemannian manifolds
Jie Wang
Let be a complete noncompact Riemannian manifold with Ricci curvature bounded from below. In this paper, we study the gradient estimates of positive solutions to a class o…
Existence of non-Cayley Haar graphs
Yan-Quan Feng, István Kovács, Jie Wang +1
A Cayley graph of a group is a finite simple graph such that its automorphism group contains a subgroup isomorphic to acting regularly on , while a…
On Supports of Sums of Nonnegative Circuit Polynomials
Jie Wang
In this paper, we prove that every SONC polynomial decomposes into a sum of nonnegative circuit polynomials with the same support, which reveals the advantage of SONC decomposition…
Systems of Polynomials with At Least One Positive Real Zero
Jie Wang
In this paper, we prove several theorems on systems of polynomials with at least one positive real zero based on the theory of conceive polynomials. These theorems provide sufficie…
Nonnegative Polynomials and Circuit Polynomials
Jie Wang
The concept of sums of nonnegative circuit polynomials (SONC) was recently introduced as a new certificate of nonnegativity especially for sparse polynomials. In this paper, we exp…
Finite Basis for Radical Well-Mixed Difference Ideals Generated by Binomials
Jie Wang
In this paper, we prove a finite basis theorem for radical well-mixed difference ideals generated by binomials. As a consequence, every strictly ascending chain of radical well-mix…
Classification of tetravalent -transitive non-normal Cayley graphs of finite simple groups
Xin Gui Fang, Jie Wang, Sanming Zhou
A graph is called -arc-transitive if is transitive on the set of vertices of and the set of -arcs of , where for an integer …
Toric P-Difference Varieties
Jie Wang
In this paper, we introduce the concept of P-difference varieties and study the properties of toric P-difference varieties. Toric P-difference varieties are analogues of toric vari…
Difference Index of Quasi-regular Difference Algebraic Systems
Jie Wang
This paper is devoted to studying difference indices of quasi-regular difference algebraic systems. We give the definition of difference indices through a family of pseudo-Jacobian…
Monomial Difference Ideals
Jie Wang
In this paper, basic properties of monomial difference ideals are studied. We prove the finitely generated property of well-mixed difference ideals generated by monomials. Furtherm…
The irreducible components of the primal cohomology of the theta divisor of an abelian fivefold
Elham Izadi, Jie Wang
The primal cohomology of the theta divisor of a principally polarized abelian fivefold (ppav) is the direct sum of its invariant and anti-invariant part…
The primitive cohomology of theta divisors
E. Izadi, J. Wang
The primitive cohomology of the theta divisor of a principally polarized abelian variety of dimension is a Hodge structure of level . The Hodge conjecture predicts that it…
A remark on the generic vanishing of Koszul cohomology
Jie Wang
We give a sufficient condition to study the vanishing of certain Koszul cohomology groups for general pairs by induction. As an application, we show that to pr…
The birational geometry of moduli space of sheaves on the projective plane
Aaron Bertram, Cristian Martinez, Jie Wang
We describe a close relation between wall crossings in the birational geometry of moduli space of Gieseker stable sheaves on $\bb{P}^2$ and mini-wall crossings in the stab…
Some results on the generic vanishing of Koszul cohomology via deformation theory
Jie Wang
We study the deformation-obstruction theory of Koszul cohomology groups of 's on singular nodal curves. We compute the obstruction classes for Koszul cohomology classes on s…
On the Maximal Rank Conjecture for Line Bundles of Extremal Degree
Jie Wang
We propose a new method, using deformation theory, to study the maximal rank conjecture. For line bundles of extremal degree, which can be viewed as the first case to test the conj…
Deformations of pairs (X,L) when X is singular
Jie Wang
We give an elementary construction of the tangent-obstruction theory of the deformations of the pair with a reduced local complete intersection scheme and a line bu…