Science China-Mathematics

Article	Citations
A standard form of incompressible surfaces in 3-dimensional handlebodies	57
Modular framed vertex operator algebras and $$\mathbb{Z}[{1\over 2}]$$-forms	50
Mirror symmetry for special nilpotent orbit closures	31
Atiyah and Todd classes of regular Lie algebroids	22
Splitting of the virtual class for genus one stable quasimaps	18
Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs	15
Lp-regularity of a geometrically nonlinear system in supercritical dimensions	15
On self-affine tiles that are homeomorphic to a ball	15
Gorenstein projective modules over rings of Morita contexts	15
Limit theorems of the 2D stochastic Navier-Stokes equation driven by a time-periodic force and a degenerate noise	14
The Minkowski norm and Hessian isometry induced by an isoparametric foliation on the unit sphere	14
The Busemann-Petty problem on entropy of log-concave functions	13
Tensor modules over Witt superalgebras	13
Generic singularities for 2D pressureless flows	13
Hereditary uniform property Γ	11
Entire functions arising from trees	11
Further study on Horozov-Iliev’s method of estimating the number of limit cycles	11
Data-driven slicing for dimension reduction in regressions: A likelihood-ratio approach	10
Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems	10
Subordinacy theory for extended CMV matrices	10
Existence for VT-harmonic maps from compact manifolds with boundary	10
Nearly optimal Bayesian shrinkage for high-dimensional regression	9
Estimation and inference in ultrahigh-dimensional partially linear single-index models	9
Global structure of spectra of periodic non-Hermitian Jacobi operators	9
Regularity for minimizing sequences of some variational integrals	9

Second-order approximation of exponential random graph models	9
On Seidel representation in quantum K-theory of Grassmannians	8
A robust Hessian-based trust region algorithm for spherical conformal parameterizations	8
Local null controllability of the viscous Burgers equation on the whole line	8
Explicit results for ergodic properties of SDEs driven by cylindrical symmetric stable noise	8
Ground states for quasilinear equations of N-Laplacian type with critical exponential growth and lack of compactness	8
On asymptotic stability of the 3D Boussinesq equations without heat conduction	8
The polynomial Furstenberg joining and its applications	8
A neural branch-and-price for truck scheduling in cross-docks	8
Boundary regularity for mean curvature flows of higher codimension	7
Quasimonotone random and stochastic functional differential equations with applications	7
Nearly optimal stochastic approximation for online principal subspace estimation	7
A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids	7
Hölder continuous weak solutions of the 2D Boussinesq equation with thermal diffusion	7
Spectral flow, Llarull’s rigidity theorem in odd dimensions and its generalization	7
Asymptotic false discovery control of the Benjamini-Hochberg procedure for pairwise comparisons	7
Long-wave instabilities	7
Product (α1, α2)-modulation spaces	6
Conformally flat, minimal, Lagrangian submanifolds in complex space forms	6
Virtual homological eigenvalues and the Weil-Petersson translation length	6
A geometric characterization of planar Sobolev extension domains	6
Manifolds of positive Ricci curvature, quadratically asymptotically nonnegative curvature, and infinite Betti numbers	6
Alleviating limit cycling in training GANs with an optimization technique	6
Global classical solutions for 3D compressible magneto-micropolar fluids without resistivity and spin viscosity in a strip domain	6
Sobolev embeddings in infinite dimensions	6
Permutation orbifolds and associative algebras	6
Generating non-jumps from a known one	6
Time-inconsistent stochastic linear-quadratic control problem with indefinite control weight costs	6
Distribution/correlation-free test for two-sample means in high-dimensional functional data with eigenvalue decay relaxed	6
On the inviscid limit of the compressible Navier-Stokes equations near Onsager’s regularity in bounded domains	6
Derived norms of finite groups	5
Statistical inference in the partial functional linear expectile regression model	5
Spectral decimation for a graph-directed fractal pair	5
Nitsche-XFEM for a time fractional diffusion interface problem	5
ACC for generalized log canonical thresholds for complex analytic spaces	5
Takens theorem for nonautonomous partially hyperbolic dynamical systems	5
Periodic solutions of a semilinear variable coefficient wave equation under asymptotic nonresonance conditions	5
Some critical fractional Hartree equations: Nondegeneracy of the positive solutions and its applications	5
W-translated Schubert divisors and transversal intersections	5
Bubbling solutions of fourth order mean field equations on $\mathbb{S}^{4}$	5
Semi-derived Ringel-Hall algebras and Hall algebras of odd-periodic relative derived categories	5
Normalized solutions to the Chern-Simons-Schrödinger system under the nonlinear combined effect	5
Compatibility of weak approximation for zero-cycles on products of varieties	5
Triples of almost primes	5
A priori estimates versus arbitrarily large solutions for fractional semi-linear elliptic equations with critical Sobolev exponent	5
Rankin-Selberg convolutions for GL(n)×GL(n) and GL(n)×GL(n−1) for principal series representations	4
Orbital stability of two-component peakons	4
Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming	4
The stable Auslander-Reiten components of certain monomorphism categories	4
Quantum convolution inequalities on Frobenius von Neumann algebras	4

A new quantity in Finsler geometry	4
An oscillation-free Hermite WENO scheme for hyperbolic conservation laws	4
High-dimensional large-scale mixed-type data imputation under missing at random	4
Sharp bilinear decomposition for products of both anisotropic Hardy spaces and their dual spaces with its applications to endpoint boundedness of commutators	4
Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations	4
A general mirror equivalence theorem for coset vertex operator algebras	4
The symmetric space, strong isotropy irreducibility and equigeodesic properties	4
On a generalized homogeneous Hahn polynomial	4
Nonconforming finite element Stokes complexes in three dimensions	4
Bubbling analysis for extrinsic biharmonic maps from general Riemannian 4-manifolds	4
Operators with the Lipschitz bounded approximation property	4
Arnold diffusion for nearly integrable Hamiltonian systems	4
On Halmos’ third problem on Banach spaces	4
RCV-based error density estimation in the ultrahigh dimensional additive model	4
Twisted Whittaker modules over $${U_q}({\mathfrak{g}\mathfrak{l}_{n + 1}})$$	4
Non-weight modules over the mirror Heisenberg-Virasoro algebra	4
Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras	3
Fast projection onto the ordered weighted ℓ1 norm ball	3
Harnack inequality and gradient estimate for G-SDEs with degenerate noise	3
Learning to select the recombination operator for derivative-free optimization	3
The lowest upper bound on the number of zeros of a class of hyperelliptic Abelian integrals	3
The positive mass theorem for asymptotically flat manifolds with isolated conical singularities	3
On equidistribution theorem for multi-sequences of holomorphic line bundles	3
Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources	3
Gaussian limit for determinantal point processes with J-Hermitian kernels	3
A class of Hessian quotient equations in warped product manifolds	3
Splitting positive sets	3
Nadel-type multiplier ideal sheaves on complex spaces with singularities	3
Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the Lp framework	3
Equivariant eta forms and equivariant differential K-theory	3
When the Schur functor induces a triangle-equivalence between Gorenstein defect categories	3
On the maximin distance properties of orthogonal designs via the rotation	3
Upper bounds of Schubert polynomials	3
The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds	3
Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes	3
Affine Pólya-Szegö inequality on Steiner rearrangement in any codimension	3
On the density of Birkhoff sums for Anosov diffeomorphisms	3
Optimal pivot path of the simplex method for linear programming based on reinforcement learning	3
Superconnections and an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds	3
New structures for colored HOMFLY-PT invariants	3
Long-time asymptotic behavior for the nonlocal nonlinear Schrödinger equation in the solitonic region	3
Uniqueness of the Reissner-Nordström metric near the null infinity	3
Dirichlet problem for Schrödinger equation with the boundary value in the BMO space	3
Special John-Nirenberg-Campanato spaces via congruent cubes	3
The positive energy conjecture for a class of AHM metrics on $${\mathbb{R}^2} \times {\mathbb{T}^{n - 2}}$$	3
Three-parameter approximations of sums of locally dependent random variables via Stein’s method	3
Multiplicative forms on Poisson groupoids	3
Numerical analysis of a Neumann boundary control problem with a stochastic parabolic equation	3
Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces	3
Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion equation with a multiple root of the degenerate equation	2
Extreme central L-values of almost prime quadratic twists of elliptic curves	2
A Hilbert-Schmidt integral operator and the Weil distribution	2
Flexible, efficient, and accurate tests for epidemics	2
A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions	2
Semi-derived Ringel-Hall bialgebras	2
A new perturbation to a critical elliptic problem with a variable exponent	2
Quantitative Green’s function estimates for lattice quasi-periodic Schrödinger operators	2
Limiting profiles of two-component attractive Bose-Einstein condensates passing an obstacle	2
Two upper bounds for the Erdős-Hooley Delta-function	2
Remarks on convexity estimates for solutions of the torsion problem	2
Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate	2
Classification of complete 3-dimensional self-shrinkers in the Euclidean space ℝ4	2
Testing high-dimensional covariance structures using double-normalized observations	2
Soliton resolution for the energy-critical wave equation with an inverse-square potential in the radial case	2
Inverse problems for radial Schrödinger operators with the missing part of eigenvalues	2
A unified pre-training and adaptation framework for combinatorial optimization on graphs	2
On symplectic automorphisms of elliptic surfaces acting on CH0	2
Relative equivariant coarse index and relative L2-index	2
Stable reflexive sheaves over compact Gauduchon manifolds	2
Sifting for small primes from an arithmetic progression	2
Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations	2
On the vanishing dissipation limit for the incompressible MHD equations on bounded domains	2
Maurer-Cartan characterizations and cohomologies of compatible Lie algebras	2
Concentration breaking on two optimization problems	2
On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations	2
Asymptotics for the joint tail probability of bidimensional randomly weighted sums with applications to insurance	2
Editorial	2
An optimal pricing policy under a Markov chain model	2
A characterization of socular highest weight modules and Richardson orbits of classical types	2
On the positivity of high-degree Schur classes of an ample vector bundle	2

Eigenvalue inequalities for the clamped plate problem of $${\mathfrak{L}}_\nu ^2$$ operator	2
Low-dimensional quadratic relative character varieties for the projective line minus three points	2
A GMM approach in coupling internal data and external summary information with heterogeneous data populations	2
On construction of strong orthogonal arrays and column-orthogonal strong orthogonal arrays of strength two plus	2
Point defects in 2-D liquid crystals with a singular potential: Profiles and stability	2
Morrey smoothness spaces: A new approach	2
A geometric characterisation of real C*-algebras	2
On the saturation number for singular cubic surfaces	2
Infinitely many dichotomous solutions for the Schrödinger-Poisson system	2
Combinatorial optimization: From deep learning to large language models	2
A polynomial resultant approach to algebraic constructions of extremal graphs	2
A remarkable class of elliptic surfaces of amplitude 1 in weighted projective spaces	2
Optimal control of differential quasivariational-hemivariational inequalities with applications	2
Pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces	2
A copula-based approximation to Markov chains	2
Non-symmetric differentially subordinate martingales and sharp weak-type bounds for Fourier multipliers	2
On unitary equivalence of compact operator tuples	2
The moment map for the variety of associative algebras	2
Local L2 theory of the fractional Navier-Stokes equations and the self-similar solution	2
Statistical inference for the nonparametric and semiparametric hidden Markov model via the composite likelihood approach	2
An equivariant index theorem on ℝn in the context of continuous fields of C*-algebras	2
High-dimensional robust inference for censored linear models	2
Formal manifolds: Foundations	2
The Morse index of minimal products of minimal submanifolds in spheres	2
The twisted conical Kähler-Ricci solitons on Fano manifolds	2
Cα regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms	1
The algebra of symmetric tensors on smooth projective varieties	1
Geodesic metrics on fractals and applications to heat kernel estimates	1
Construction and analysis of the quadratic finite volume methods on tetrahedral meshes	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
Global well-posedness for 2D inhomogeneous asymmetric fluids with large initial data	1
Stochastic 3D Leray-α model with fractional dissipation	1
A regularization theorem for bounded-degree self-maps	1
Optimal investment, retirement, and life insurance with consumption ratcheting and time-inhomogeneous utility	1
Multiplicity of solutions for the semilinear subelliptic Dirichlet problem	1
On the L∞ stability of Prandtl expansions in the Gevrey class	1
Concavity of minimal L2 integrals related to multiplier ideal sheaves on weakly pseudoconvex Kähler manifolds	1
Geometry of holomorphic invariant strongly pseudoconvex complex Finsler metrics on the classical domains	1
Toeplitz operators between distinct Bergman spaces	1
Global existence of weak solutions to the drift-flux system for general pressure laws	1
The linear self-attracting diffusion driven by the weighted-fractional Brownian motion II: The parameter estimation	1
Fourier coefficients of restrictions of eigenfunctions	1
The distribution of the large partial quotients in continued fraction expansions	1
Conditional dependence learning with high-dimensional conditioning variables	1
Model-averaging-based semiparametric modeling for conditional quantile prediction	1
Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds	1
Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities	1
On the rainbow matching conjecture for 3-uniform hypergraphs	1
Conics on Barth-Bauer octics	1
On the classification of certain real rank zero C*-algebras	1
Cohomology groups of a new class of Kadison-Singer algebras	1
Bounded critical Fatou components are Jordan domains for polynomials	1
High-order finite volume methods for solving compressible multicomponent flows	1
Some rigid results on doubly twisted product complex Finsler manifolds	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
Trigonometric multiplicative chaos and applications to random distributions	1
Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient	1
Reverse mathematics and local rings	1
Regularization by transport noises for 3D MHD equations	1
A q-operational equation and the Rogers-Szegő polynomials	1
Equivalent norms, Hardy-Littlewood-type theorems, and their applications	1
Global multiplicity of solutions to a defocusing quasilinear Schrödinger equation with the singular term	1
The based rings of two-sided cells in an affine Weyl group of type $${{\tilde B}_3}$$, I	1
The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds	1
Byzantine-robust distributed support vector machine	1
The openness theorems on convergence of the twisted Kähler-Ricci flows	1
Jackson-type inequalities on high-dimensional spheres	1
Classification of anti-symmetric solutions to the fractional Lane-Emden system	1
Embedding periodic maps of surfaces into those of spheres with minimal dimensions	1
Enhancing cut selection through reinforcement learning	1
Almost global smooth solutions of the 3D quasilinear Klein-Gordon equations on the product space $$\mathbb{R}^{2}\times \mathbb{T}$$	1
Uniformly strong convergence of Kähler-Ricci flows on a Fano manifold	1
On the core entropy of Newton maps	1
Positive definiteness of real quadratic forms resulting from the variable-step L1-type approximations of convolution operators	1
Center of the Yangian double in type A	1
Trace inequalities, isocapacitary inequalities, and regularity of the complex Hessian equations	1
Algebraic degrees of generalized Nash equilibrium problems	1
On the local convergence of a stochastic semismooth Newton method for nonsmooth nonconvex optimization	1
On Leray’s problem in an infinitely long pipe with the Navier-slip boundary condition	1
Non-weight modules over the algebra $$\cal{SW}(b)$$	1
Stationary distributions for two-dimensional sticky Brownian motions: Exact tail asymptotics and extreme value distributions	1
Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain	1
Verdier quotients of homotopy categories of rings and Gorenstein-projective precovers	1
Inverse problems of the Erdős-Ko-Rado type theorems for families of vector spaces and permutations	1
Ideal balanced pairs in extriangulated categories	1
Localization of normalized solutions for saturable nonlinear Schrödinger equations	1
NeuroPrim: An attention-based model for solving NP-hard spanning tree problems	1
Weak KAM theory for two classes of almost periodic Hamiltonian systems	1
Variation operators for singular integrals and their commutators on weighted Morrey spaces and Sobolev spaces	1
Gluing support τ-tilting modules via symmetric ladders of height 2	1
Multivariate quasi-tight framelets with high balancing orders derived from any compactly supported refinable vector functions	1
Gradient-based algorithms for multi-objective bi-level optimization	1
Scalar curvatures in almost Hermitian geometry and some applications	1