OOIR: Observatory of International Research

Papers

(The TQCC of Manuscripta Mathematica is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)

Article	Citations
Costello’s pushforward formula: errata and generalization	7
The behavior of harmonic functions at singular points of $$\mathsf {RCD}$$ spaces	6
Fractional Kirchhoff Hardy problems with singular and critical Sobolev nonlinearities	6
Weighted and anisotropic Sobolev inequality with extremal	6
The Benci–Cerami problem for the fractional Choquard equation with critical exponent	6
Regularity for local minima of a special class of vectorial problems with fully anisotropic growth	5
Existence of parabolic minimizers to the total variation flow on metric measure spaces	5
An 8-periodic exact sequence of Witt groups of Azumaya algebras with involution	5
An arithmetic valuative criterion for proper maps of tame algebraic stacks	5
A note on the topological stability theorem from $${{\,\textrm{RCD}\,}}$$ spaces to Riemannian manifolds	5
Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient	5
Sub-elliptic problems with multiple critical Sobolev-Hardy exponents on Carnot groups	5
Kummer surfaces associated with group schemes	4
On the Cheeger problem for rotationally invariant domains	4
A special configuration of 12 conics and generalized Kummer surfaces	4
Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds	4
Equivariant Kuranishi family of complex compact manifolds	4
Homotopy nilpotency of some homogeneous spaces	4
Curvature of quaternionic Kähler manifolds with $$S^1$$-symmetry	4
Gluing constructions for Lorentzian length spaces	4
Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified groups	4
Special cycles on unitary Shimura curves at ramified primes	4
On Hopf hypersurfaces of the homogeneous nearly Kähler $${\mathbf {S}}^3\times {\mathbf {S}}^3$$, II	4
The matroid stratification of the Hilbert scheme of points on $$\mathbb {P}^1$$	3
The degeneration formula for stable log maps	3

Permutohedral complexes and rational curves with cyclic action	3
Periods of complete intersection algebraic cycles	3
Exact integrability conditions for cotangent vector fields	3
Curvature of the space of stability conditions	3
Equivariant harmonic maps depend real analytically on the representation	3
Log smooth deformation theory via Gerstenhaber algebras	3
Desingularization of Kontsevich’s compactification of twisted cubics in $$V_5$$	3
$$\Lambda $$-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves	3
On the log abundance for compact Kähler threefolds	2
Classification of 6-dimensional splittable flat solvmanifolds	2
$${\mathbb {Z}}_2^2$$-actions on Horikawa surfaces	2
Homology of systemic modules	2
Depth-preserving property of the local Langlands correspondence for quasi-split classical groups in large residual characteristic	2
Simpson filtration and oper stratum conjecture	2
Unramified cohomology of quadrics in characteristic two	2
On an algorithm to compute derivatives	2
Division algebras with common subfields	2
Triharmonic CMC hypersurfaces in $${\mathbb {R}}^{5}(c)$$	2
On unitarizability and Arthur packets	2
Cohomology jump loci of 3-manifolds	2
On the Mumford–Tate conjecture for hyperkähler varieties	2
Special Ulrich bundles on regular surfaces with non–negative Kodaira dimension	2
An evolutionary Haar-Rado type theorem	2
Exact principal blowup rate near the boundary of boundary blowup solutions to k-curvature equation	2
Sharp Gaussian upper bounds for Schrödinger heat kernel on gradient shrinking Ricci solitons	2
On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem	2
Constructing reducible Brill–Noether curves II	2
D-modules of pure Gaussian type and enhanced ind-sheaves	2
On locally conformally Kähler metrics on Oeljeklaus–Toma manifolds	2
Kähler–Einstein metrics on Pasquier’s two-orbits varieties	2
Galois module structure of the units modulo $$p^m$$ of cyclic extensions of degree $$p^n$$	2
Cuspidal components of Siegel modular forms for large discrete series representations of $$\textrm{Sp}_4({\mathbb {R}})$$	2
Geometry of compact quasi-Einstein manifolds with boundary	2
Immersions of r-almost Yamabe solitons into Riemannian Manifolds	2
Common splitting fields of symbol algebras	2
Fractional mean curvature flow of Lipschitz graphs	2
Continuous characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators	2
Nonnegative solutions for the fractional Laplacian involving a nonlinearity with zeros	2
Fractional differentiability for a class of double phase problems with measure data	1
Rational cohomology of the moduli space of trigonal curves of genus 5	1
Stability to a class of doubly nonlinear very singular parabolic equations	1
Fitting ideals and various notions of equivalence for modules	1
On a microlocal version of Young’s product theorem	1
On some simple geometric structure of affine Deligne–Lusztig varieties for $${{\,\textrm{GL}\,}}_n$$	1
Continuous K-theory and cohomology of rigid spaces	1
Surfaces of constant anisotropic mean curvature with free boundary in revolution surfaces	1
Lie applicable surfaces and curved flats	1
Non-invariance of the Hasse principle with Brauer–Manin obstruction	1
Symbolic power containments in singular rings in positive characteristic	1
The Dirichlet problem for prescribed curvature equations of p-convex hypersurfaces	1

On the BDP Iwasawa main conjecture for modular forms	1
Pointwise boundary differentiability on Reifenberg domains for fully nonlinear elliptic equations	1
Strong linkage for function fields of surfaces	1
Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields	1
On the existence of the Green function for elliptic systems in divergence form	1
On Frobenius stratification of moduli spaces of rank 4 vector bundles	1
Some functional inequalities under lower Bakry–Émery–Ricci curvature bounds with $${\varepsilon }$$-range	1
On sharper estimates of Ohsawa–Takegoshi $$L^2$$-extension theorem in higher dimensional case	1
Polar germs, Jacobian ideal and analytic classification of irreducible plane curve singularities	1
A characterization of multiplier ideals via ultraproducts	1
The perfect cone compactification of quotients of type IV domains	1
Towers of Looijenga pairs and asymptotics of ECH capacities	1
An unification of Orlicz-Morrey spaces and its applications	1
Stability and deformations of generalised Picard sheaves	1
Expectations, concave transforms, chow weights and Roth’s theorem for varieties	1
On the Seshadri constants of equivariant bundles over Bott–Samelson varieties and wonderful compactifications	1
On the commensurability of hyperbolic Coxeter groups	1
Counting local systems with tame ramification	1
On supersingular loci of Shimura varieties for quaternionic unitary groups of degree 2	1
On conjectures of Samart	1
Polyharmonic surfaces in 3-dimensional homogeneous spaces	1
A two-dimensional rationality problem and intersections of two quadrics	1
The Anticanonical Complex for Non-degenerate Toric Complete Intersections	1
Nisnevich local good compactifications	1
The augmented base locus in mixed characteristic	1
Stability of pencils of plane sextics and Halphen pencils of index two	1
Sign-changing solution for logarithmic elliptic equations with critical exponent	1
Minimal surfaces in spheres and a Ricci-like condition	1
On the tautological ring of Humbert curves	1
Exterior algebras in matroid theory	1
On classic n-universal quadratic forms over dyadic local fields	1
Almost complex parallelizable manifolds: Kodaira dimension and special structures	1
Local-global compatibility of mod p Langlands program for certain Shimura varieties	1
Cohomology of Fuchsian groups and non-Euclidean crystallographic groups	1
Integrality of Seshadri constants and irreducibility of principal polarizations on products of two isogenous elliptic curves	1
Graded rings of Hermitian modular forms with singularities	1
Amplified endomorphisms of Fano fourfolds	1
Weighted Lorentz estimates for non-uniformly elliptic problems with variable exponents	1
Existence of self-similar Dirichlet forms on post-critically finite fractals in terms of their resistances	1
Lifting images of standard representations of symmetric groups	1
Compatible Feigin–Odesskii Poisson brackets	1
Quantitative subspace theorem and general form of second main theorem for higher degree polynomials	1
Equivariant embeddings of strongly pseudoconvex Cauchy–Riemann manifolds	1
Stable Ulrich bundles on cubic fourfolds	1
Bounding the signed count of real bitangents to plane quartics	1
Equivariant Hodge-Deligne polynomials of symmetric products of algebraic groups	1
Composition series of a class of induced representations built on discrete series	1
Non-big Ulrich bundles: the classification on quadrics and the case of small numerical dimension	1
Extending rationally connected fibrations from ample subvarieties	1
Spectrahedral representation of polar orbitopes	1
Real projective structures on Riemann surfaces and new hyper-Kähler manifolds	1
Actions of μp on canonically polarized surfaces in characteristic p > 0	1
Generalized flatness constants, spanning lattice polytopes, and the Gromov width	1
Non-positively curved Ricci Surfaces with catenoidal ends	1
Algebraic topological techniques for elliptic problems involving fractional Laplacian	1
Bubble solutions for a supercritical polyharmonic Hénon-type equation	1