Science China-Mathematics

Article	Citations
A standard form of incompressible surfaces in 3-dimensional handlebodies	51
Modular framed vertex operator algebras and $$\mathbb{Z}[{1\over 2}]$$-forms	34
Mirror symmetry for special nilpotent orbit closures	22
Atiyah and Todd classes of regular Lie algebroids	21
Gorenstein projective modules over rings of Morita contexts	16
The Minkowski norm and Hessian isometry induced by an isoparametric foliation on the unit sphere	16
Lp-regularity of a geometrically nonlinear system in supercritical dimensions	16
On self-affine tiles that are homeomorphic to a ball	16
Splitting of the virtual class for genus one stable quasimaps	16
Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs	15
Limit theorems of the 2D stochastic Navier-Stokes equation driven by a time-periodic force and a degenerate noise	15
Tensor modules over Witt superalgebras	14
Generic singularities for 2D pressureless flows	14
The Busemann-Petty problem on entropy of log-concave functions	13
Further study on Horozov-Iliev’s method of estimating the number of limit cycles	12
Existence for VT-harmonic maps from compact manifolds with boundary	11
Hereditary uniform property Γ	11
Entire functions arising from trees	11
The (α, β)-Eulerian polynomials and descent-Stirling statistics on permutations	11
Data-driven slicing for dimension reduction in regressions: A likelihood-ratio approach	10
Explicit results for ergodic properties of SDEs driven by cylindrical symmetric stable noise	10
Regularity for minimizing sequences of some variational integrals	10
Ground states for quasilinear equations of N-Laplacian type with critical exponential growth and lack of compactness	10
A robust Hessian-based trust region algorithm for spherical conformal parameterizations	10
Subordinacy theory for extended CMV matrices	10

Second-order approximation of exponential random graph models	10
Global structure of spectra of periodic non-Hermitian Jacobi operators	10
On the Rosensweig model: A linear, energy-stable, and convergent finite element method	9
Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems	9
The polynomial Furstenberg joining and its applications	9
Estimation and inference in ultrahigh-dimensional partially linear single-index models	9
On asymptotic stability of the 3D Boussinesq equations without heat conduction	8
Nearly optimal stochastic approximation for online principal subspace estimation	8
Nearly optimal Bayesian shrinkage for high-dimensional regression	8
Product (α1, α2)-modulation spaces	8
A neural branch-and-price for truck scheduling in cross-docks	8
Local null controllability of the viscous Burgers equation on the whole line	8
Long-wave instabilities	8
Hölder continuous weak solutions of the 2D Boussinesq equation with thermal diffusion	7
Boundary regularity for mean curvature flows of higher codimension	7
A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids	7
Conformally flat, minimal, Lagrangian submanifolds in complex space forms	7
Quasimonotone random and stochastic functional differential equations with applications	7
On Seidel representation in quantum K-theory of Grassmannians	7
Generating non-jumps from a known one	7
Asymptotic false discovery control of the Benjamini-Hochberg procedure for pairwise comparisons	7
Spectral flow, Llarull’s rigidity theorem in odd dimensions and its generalization	7
Alleviating limit cycling in training GANs with an optimization technique	7
A geometric characterization of planar Sobolev extension domains	6
On the inviscid limit of the compressible Navier-Stokes equations near Onsager’s regularity in bounded domains	6
Some critical fractional Hartree equations: Nondegeneracy of the positive solutions and its applications	6
Virtual homological eigenvalues and the Weil-Petersson translation length	6
Sobolev embeddings in infinite dimensions	6
Time-inconsistent stochastic linear-quadratic control problem with indefinite control weight costs	6
Manifolds of positive Ricci curvature, quadratically asymptotically nonnegative curvature, and infinite Betti numbers	6
Permutation orbifolds and associative algebras	6
Distribution/correlation-free test for two-sample means in high-dimensional functional data with eigenvalue decay relaxed	6
Global classical solutions for 3D compressible magneto-micropolar fluids without resistivity and spin viscosity in a strip domain	6
Compatibility of weak approximation for zero-cycles on products of varieties	5
Triples of almost primes	5
Concavity property of minimal L2 integrals with Lebesgue measurable gain VI: Fibrations over products of open Riemann surfaces	5
Periodic solutions of a semilinear variable coefficient wave equation under asymptotic nonresonance conditions	5
Normalized solutions to the Chern-Simons-Schrödinger system under the nonlinear combined effect	5
Derived norms of finite groups	5
Nitsche-XFEM for a time fractional diffusion interface problem	5
ACC for generalized log canonical thresholds for complex analytic spaces	5
Semi-derived Ringel-Hall algebras and Hall algebras of odd-periodic relative derived categories	5
A priori estimates versus arbitrarily large solutions for fractional semi-linear elliptic equations with critical Sobolev exponent	5
Spectral decimation for a graph-directed fractal pair	5
Optimal subsampling for principal component analysis	5
W-translated Schubert divisors and transversal intersections	5
Bubbling solutions of fourth order mean field equations on $\mathbb{S}^{4}$	5
Statistical inference in the partial functional linear expectile regression model	5
Takens theorem for nonautonomous partially hyperbolic dynamical systems	5
Orbital stability of two-component peakons	5

On Halmos’ third problem on Banach spaces	4
A general mirror equivalence theorem for coset vertex operator algebras	4
An oscillation-free Hermite WENO scheme for hyperbolic conservation laws	4
Non-weight modules over the mirror Heisenberg-Virasoro algebra	4
High-dimensional large-scale mixed-type data imputation under missing at random	4
Operators with the Lipschitz bounded approximation property	4
Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations	4
Arnold diffusion for nearly integrable Hamiltonian systems	4
Sharp bilinear decomposition for products of both anisotropic Hardy spaces and their dual spaces with its applications to endpoint boundedness of commutators	4
The stable Auslander-Reiten components of certain monomorphism categories	4
Bubbling analysis for extrinsic biharmonic maps from general Riemannian 4-manifolds	4
Quantum convolution inequalities on Frobenius von Neumann algebras	4
Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming	4
Nonconforming finite element Stokes complexes in three dimensions	4
On a generalized homogeneous Hahn polynomial	4
Rankin-Selberg convolutions for GL(n)×GL(n) and GL(n)×GL(n−1) for principal series representations	4
Three-parameter approximations of sums of locally dependent random variables via Stein’s method	3
The symmetric space, strong isotropy irreducibility and equigeodesic properties	3
The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds	3
Splitting positive sets	3
Superconnections and an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds	3
A remarkable class of elliptic surfaces of amplitude 1 in weighted projective spaces	3
Optimal pivot path of the simplex method for linear programming based on reinforcement learning	3
Equivariant eta forms and equivariant differential K-theory	3
A new quantity in Finsler geometry	3
Numerical analysis of a Neumann boundary control problem with a stochastic parabolic equation	3
RCV-based error density estimation in the ultrahigh dimensional additive model	3
On the maximin distance properties of orthogonal designs via the rotation	3
Gaussian limit for determinantal point processes with J-Hermitian kernels	3
A class of Hessian quotient equations in warped product manifolds	3
Twisted Whittaker modules over $${U_q}({\mathfrak{g}\mathfrak{l}_{n + 1}})$$	3
Dirichlet problem for Schrödinger equation with the boundary value in the BMO space	3
Affine Pólya-Szegö inequality on Steiner rearrangement in any codimension	3
Maurer-Cartan characterizations and cohomologies of compatible Lie algebras	3
Nadel-type multiplier ideal sheaves on complex spaces with singularities	3
Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras	3
When the Schur functor induces a triangle-equivalence between Gorenstein defect categories	3
On equidistribution theorem for multi-sequences of holomorphic line bundles	3
Long-time asymptotic behavior for the nonlocal nonlinear Schrödinger equation in the solitonic region	3
Special John-Nirenberg-Campanato spaces via congruent cubes	3
The positive mass theorem for asymptotically flat manifolds with isolated conical singularities	3
Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes	3
The positive energy conjecture for a class of AHM metrics on $${\mathbb{R}^2} \times {\mathbb{T}^{n - 2}}$$	3
Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources	3
On the density of Birkhoff sums for Anosov diffeomorphisms	3
New structures for colored HOMFLY-PT invariants	3
On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations	3
Learning to select the recombination operator for derivative-free optimization	3
Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the Lp framework	3
Uniqueness of the Reissner-Nordström metric near the null infinity	3
The sum of Hamiltonian manifolds	3
The lowest upper bound on the number of zeros of a class of hyperelliptic Abelian integrals	3
Multiplicative forms on Poisson groupoids	3
On the positivity of high-degree Schur classes of an ample vector bundle	2
Remarks on convexity estimates for solutions of the torsion problem	2
On construction of strong orthogonal arrays and column-orthogonal strong orthogonal arrays of strength two plus	2
Asymptotics for the joint tail probability of bidimensional randomly weighted sums with applications to insurance	2
On unitary equivalence of compact operator tuples	2
Classification of complete 3-dimensional self-shrinkers in the Euclidean space ℝ4	2
Formal manifolds: Foundations	2
An equivariant index theorem on ℝn in the context of continuous fields of C*-algebras	2
A unified pre-training and adaptation framework for combinatorial optimization on graphs	2
Flexible, efficient, and accurate tests for epidemics	2
Morrey smoothness spaces: A new approach	2
Concentration breaking on two optimization problems	2
Stable reflexive sheaves over compact Gauduchon manifolds	2
Inverse problems for radial Schrödinger operators with the missing part of eigenvalues	2
A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions	2
Non-symmetric differentially subordinate martingales and sharp weak-type bounds for Fourier multipliers	2
Infinitely many dichotomous solutions for the Schrödinger-Poisson system	2
Editorial	2
Testing high-dimensional covariance structures using double-normalized observations	2
Random Turán and counting results for general position sets over finite fields	2
Local L2 theory of the fractional Navier-Stokes equations and the self-similar solution	2
An optimal pricing policy under a Markov chain model	2
Low-dimensional quadratic relative character varieties for the projective line minus three points	2
Point defects in 2-D liquid crystals with a singular potential: Profiles and stability	2
Two upper bounds for the Erdős-Hooley Delta-function	2
A GMM approach in coupling internal data and external summary information with heterogeneous data populations	2
The twisted conical Kähler-Ricci solitons on Fano manifolds	2

The Morse index of minimal products of minimal submanifolds in spheres	2
Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations	2
Optimal control of differential quasivariational-hemivariational inequalities with applications	2
A Hilbert-Schmidt integral operator and the Weil distribution	2
High-dimensional robust inference for censored linear models	2
A new perturbation to a critical elliptic problem with a variable exponent	2
Extreme central L-values of almost prime quadratic twists of elliptic curves	2
Gradient-based algorithms for multi-objective bi-level optimization	2
Sifting for small primes from an arithmetic progression	2
The CAP representations indexed by Hilbert cusp forms	2
A characterization of socular highest weight modules and Richardson orbits of classical types	2
Quantitative Green’s function estimates for lattice quasi-periodic Schrödinger operators	2
Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate	2
The moment map for the variety of associative algebras	2
A copula-based approximation to Markov chains	2
Statistical inference for the nonparametric and semiparametric hidden Markov model via the composite likelihood approach	2
Soliton resolution for the energy-critical wave equation with an inverse-square potential in the radial case	2
On the saturation number for singular cubic surfaces	2
Combinatorial optimization: From deep learning to large language models	2
Pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces	2
A polynomial resultant approach to algebraic constructions of extremal graphs	2
Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion equation with a multiple root of the degenerate equation	2
Semi-derived Ringel-Hall bialgebras	2
On symplectic automorphisms of elliptic surfaces acting on CH0	2
On the vanishing dissipation limit for the incompressible MHD equations on bounded domains	2
A geometric characterisation of real C*-algebras	2
Relative equivariant coarse index and relative L2-index	2
Limiting profiles of two-component attractive Bose-Einstein condensates passing an obstacle	2
Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient	1
Besov–Triebel–Lizorkin-type spaces with matrix A∞ weights	1
Global existence of weak solutions to the drift-flux system for general pressure laws	1
Stochastic 3D Leray-α model with fractional dissipation	1
Classification of anti-symmetric solutions to the fractional Lane-Emden system	1
Fourier coefficients of restrictions of eigenfunctions	1
On the core entropy of Newton maps	1
Jackson-type inequalities on high-dimensional spheres	1
A q-operational equation and the Rogers-Szegő polynomials	1
The unitary subgroups of group algebras for a class of finite 2-groups with the derived subgroup of order 2	1
Native spaces and generalization of Wu functions	1
Scalar curvatures in almost Hermitian geometry and some applications	1
Enhancing cut selection through reinforcement learning	1
A stabilizer-free C0 weak Galerkin method for the biharmonic equations	1
Gluing support τ-tilting modules via symmetric ladders of height 2	1
Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation	1
Multi-arm covariate-adaptive randomization	1
On infinite arithmetic progressions in sumsets	1
The low Mach number limit of non-isentropic magnetohydrodynamic equations with large temperature variations in bounded domains	1
Model-averaging-based semiparametric modeling for conditional quantile prediction	1
Algebraic degrees of generalized Nash equilibrium problems	1
Trace inequalities, isocapacitary inequalities, and regularity of the complex Hessian equations	1
Optimal investment, retirement, and life insurance with consumption ratcheting and time-inhomogeneous utility	1
Center of the Yangian double in type A	1
Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain	1
The based rings of two-sided cells in an affine Weyl group of type $${{\tilde B}_3}$$, I	1
On Leray’s problem in an infinitely long pipe with the Navier-slip boundary condition	1
Variation operators for singular integrals and their commutators on weighted Morrey spaces and Sobolev spaces	1
Trigonometric multiplicative chaos and applications to random distributions	1
Constructing parabolic non-Abelian Hodge correspondence in positive characteristic using parabolic bases	1
Ideal balanced pairs in extriangulated categories	1
Generic dynamics of mean curvature flows with asymptotically conical singularities	1
The Lang-Trotter conjecture for the elliptic curve y2 = x3 + Dx	1
The representation type of the descent algebras of type $$\mathbb{A}$$	1
Conditional dependence learning with high-dimensional conditioning variables	1
Cα regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms	1
Embedding periodic maps of surfaces into those of spheres with minimal dimensions	1
Cohomology groups of a new class of Kadison-Singer algebras	1
Uniformly strong convergence of Kähler-Ricci flows on a Fano manifold	1
Almost global smooth solutions of the 3D quasilinear Klein-Gordon equations on the product space $$\mathbb{R}^{2}\times \mathbb{T}$$	1
Global well-posedness for 2D inhomogeneous asymmetric fluids with large initial data	1
Some rigid results on doubly twisted product complex Finsler manifolds	1
Geodesic metrics on fractals and applications to heat kernel estimates	1
Stationary distributions for two-dimensional sticky Brownian motions: Exact tail asymptotics and extreme value distributions	1
Fibred surfaces and their unitary rank	1
Regularization by transport noises for 3D MHD equations	1
Geometry of holomorphic invariant strongly pseudoconvex complex Finsler metrics on the classical domains	1
Bounded critical Fatou components are Jordan domains for polynomials	1
The algebra of symmetric tensors on smooth projective varieties	1
On the L∞ stability of Prandtl expansions in the Gevrey class	1
On the classification of certain real rank zero C*-algebras	1
On the rainbow matching conjecture for 3-uniform hypergraphs	1
Concavity of minimal L2 integrals related to multiplier ideal sheaves on weakly pseudoconvex Kähler manifolds	1
Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds	1
High-order finite volume methods for solving compressible multicomponent flows	1
Multivariate quasi-tight framelets with high balancing orders derived from any compactly supported refinable vector functions	1
Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities	1
NeuroPrim: An attention-based model for solving NP-hard spanning tree problems	1
Conics on Barth-Bauer octics	1
On the local convergence of a stochastic semismooth Newton method for nonsmooth nonconvex optimization	1
Equivalent norms, Hardy-Littlewood-type theorems, and their applications	1
Positive definiteness of real quadratic forms resulting from the variable-step L1-type approximations of convolution operators	1
Byzantine-robust distributed support vector machine	1
Robust reduced rank regression in a distributed setting	1
Estimates for stress concentration between two adjacent rigid inclusions in two-dimensional Stokes flow	1
The openness theorems on convergence of the twisted Kähler-Ricci flows	1
Construction and analysis of the quadratic finite volume methods on tetrahedral meshes	1