OOIR: Observatory of International Research

Papers

(The median citation count of Advances in Geometry is 0. 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 2021-07-01 to 2025-07-01.)

Article	Citations
Computation of Dressians by dimensional reduction	10
Hilton–Milner results in projective and affine spaces	5
Tropical Poincaré duality spaces	5
A note on large Kakeya sets	5
On projections of free semialgebraic sets	4
Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving	4
Helmut Salzmann and his legacy	4
Frontmatter	4
Anisotropic area-preserving nonlocal flow for closed convex plane curves	4
Quotient spaces of K3 surfaces by non-symplectic involutions fixing a curve of genus 8 or more	3
Symmetries of complex analytic vector fields with an essential singularity on the Riemann sphere	3
Variations on the Weak Bounded Negativity Conjecture	3
On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces	3
Compact locally homogeneous manifolds with parallel Weyl tensor	2
The Bogomolov–Gieseker–Koseki inequality on surfaces with canonical singularities in arbitrary characteristic	2
Poisson Structures on moduli spaces of Higgs bundles over stacky curves	2
Ehrhart theory of paving and panhandle matroids	2
Semistable Higgs bundles on elliptic surfaces	2
Fano fourfolds having a prime divisor of Picard number 1	2
On trialities and their absolute geometries	2
Weierstrass semigroups for maximal curves realizable as Harbater–Katz–Gabber covers	2
The generating rank of a polar Grassmannian	1
Universal convex covering problems under translations and discrete rotations	1
The total absolute curvature of closed curves with singularities	1
The simultaneous lattice packing-covering constant of octahedra	1

Some observations on conformal symmetries of G ₂-structures	1
On the rigidity of harmonic-Ricci solitons	1
The balanced superelliptic mapping class groups are generated by three elements	1
Explicit Nikulin configurations on Kummer surfaces	1
Chow groups of Gushel–Mukai fivefolds	1
Numerical semigroups, polyhedra, and posets II: locating certain families of semigroups	1
Polyhedral combinatorics of bisectors	1
Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs	1
Exploring tropical differential equations	1
The moduli space of tropical curves with fixed Newton polygon	1
The complexity of orientable graph manifolds	1
Frontmatter	1
Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities	1
Erratum for "Tropical superelliptic curves"	1
Ulrich trichotomy on del Pezzo surfaces	1
On automorphisms of semistableG-bundles with decorations	1
Frontmatter	1
Ricci almost solitons with associated projective vector field	1
Frontmatter	1
Counting isolated points outside the image of a polynomial map	1
New sextics of genus 6 and 10 attaining the Serre bound	1
Closed Majorana representations of {3, 4}⁺-transposition groups	1
An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space	1
Characterizations of symplectic polar spaces	1
Pseudoholomorphic curves on the LCS-fication of contact manifolds	1
Continuous CM-regularity and generic vanishing	1
Exploring the interplay of semistable vector bundles and their restrictions on reducible curves	1
Generalized Shioda–Inose structures of order 3	1
Frontmatter	1
Some remarks on proper actions, proper metric spaces, and buildings	1
Rank one sheaves over quaternion algebras on Enriques surfaces	0
On Ricci negative derivations	0
The geometry of discrete L-algebras	0
Deformations of pairs of codimension one foliations	0
Another proof of Segre’s theorem about ovals	0
Tetrahedral cages for unit discs	0
Some rigidity results on q-solitons	0
A new axiomatics for masures II	0
On some relations between the perimeter, the area and the visual angle of a convex set	0
Bridgeland stability conditions on surfaces with curves of negative self-intersection	0
On the Jacobian locus in the Prym locus and geodesics	0
Lower bound on the translative covering density of octahedra	0
Frontmatter	0
Inequalities for f ^*-vectors of lattice polytopes	0
Frontmatter	0
Extremizers of the Alexandrov–Fenchel inequality within a new class of convex bodies	0
Characterization of the sphere and of bodies of revolution by means of Larman points	0
Isometries of wall-connected twin buildings	0
Frontmatter	0
Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two	0

Regular parallelisms on PG(3,ℝ) from generalized line stars: the oriented case	0
Open books and embeddings of smooth and contact manifolds	0
Quasimorphisms on nonorientable surface diffeomorphism groups	0
Shellable tilings on relative simplicial complexes and their h-vectors	0
Cylinders in smooth del Pezzo surfaces of degree 2	0
On Huisman’s conjectures about unramified real curves	0
Boomerang uniformity of power permutations and algebraic curves over ????₂ⁿ	0
Locally homogeneous non-gradient quasi-Einstein 3-manifolds	0
An Abel–Jacobi theorem for metrized complexes of Riemann surfaces	0
Fundamental polyhedra of projective elementary groups	0
On the Segre invariant for rank two vector bundles on ℙ²	0
Positive semigroups in lattices and totally real number fields	0
The feet of orthogonal Buekenhout–Metz unitals	0
Inscribed rectangle coincidences	0
Topology of tropical moduli spaces of weighted stable curves in higher genus	0
Rank-one isometries of CAT(0) cube complexes and their centralisers	0
The motivic Igusa zeta function of a space monomial curve with a plane semigroup	0
Sharply transitive sets in PGL₂(K)	0
New rigidity results for critical metrics of some quadratic curvature functionals	0
Positive Ricci curvature on fiber bundles with compact structure group	0
Betweenness isomorphisms in the plane — the case of a circle and points	0
Frontmatter	0
Frontmatter	0
An extremum problem for the power moment of a convex polygon contained in a disc	0
Simple obstructions and cone reduction	0
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties	0
Study of the cone of sums of squares plus sums of nonnegative circuit forms	0
Cohomogeneity one central Kähler metrics in dimension four	0
Deformation cones of Tesler polytopes	0
Local quasi-isometries and tangent cones of definable germs	0
A note on polarized varieties with high nef value	0
The wobbly divisors of the moduli space of rank-2 vector bundles	0
PL Morse theory in low dimensions	0
On nilpotent automorphism groups of function fields	0
Explicit construction of decomposable Jacobians	0
Real hypersurfaces in ℂP ² and ℂH ² with constant scalar curvature	0
An isomorphism between unitals and between related classical groups	0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety	0
Frontmatter	0
Convex cones spanned by regular polytopes	0
Towards resolving Keller’s cube tiling conjecture in dimension seven	0
An ????_p²-maximal Wiman sextic and its automorphisms	0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes	0
Equiangular lines in ℂ³	0
Approximating coarse Ricci curvature on submanifolds of Euclidean space	0
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35	0
Frontmatter	0
Two examples of harmonic maps into spheres	0
A few more extensions of Putinar’s Positivstellensatz to non-compact sets	0
On nearly optimal paper Moebius bands	0
A partial compactification of the Bridgeland stability manifold	0
Frontmatter	0
Bach flow of simply connected nilmanifolds	0
Polyhedral compactifications, I	0
Desargues’ Theorem in Laguerre Planes	0
Geometric characterisation of subvarieties of ????₆(????) related to the ternions and sextonions	0
On the bond polytope	0
Stein domains in ℂ² with prescribed boundary	0
Frontmatter	0
How to construct all metric f-K-contact manifolds	0
Arithmetic counts of tropical plane curves and their properties	0
Mean surface and volume particle tensors under L-restricted isotropy and associated ellipsoids	0
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization	0
Abelian branched covers of rational surfaces	0
Cones between the cones of positive semidefinite forms and sums of squares	0
The Malgrange–Galois groupoid of the Painlevé VI equation with parameters	0
Explicit p-harmonic functions on the real Grassmannians	0
Projective self-dual polygons in higher dimensions	0
A characterization of centrally symmetric convex bodies in terms of visual cones	0
Convex Fujita numbers are not determined by the fundamental group	0
Frontmatter	0
Harmonic sections of vector bundles with spherically symmetric metrics	0
Duality related with key varieties of ℚ-Fano threefolds constructed from projective bundles	0