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
The moduli space of tropical curves with fixed Newton polygon	1
Exploring tropical differential equations	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
Closed Majorana representations of {3, 4}⁺-transposition groups	1
New sextics of genus 6 and 10 attaining the Serre bound	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
On the Segre invariant for rank two vector bundles on ℙ²	0
On Ricci negative derivations	0
The feet of orthogonal Buekenhout–Metz unitals	0
Inscribed rectangle coincidences	0
Some rigidity results on q-solitons	0
Another proof of Segre’s theorem about ovals	0
Rank-one isometries of CAT(0) cube complexes and their centralisers	0
New rigidity results for critical metrics of some quadratic curvature functionals	0
On some relations between the perimeter, the area and the visual angle of a convex set	0
The motivic Igusa zeta function of a space monomial curve with a plane semigroup	0
Lower bound on the translative covering density of octahedra	0
Positive Ricci curvature on fiber bundles with compact structure group	0
Frontmatter	0
Frontmatter	0
Frontmatter	0
Simple obstructions and cone reduction	0
Isometries of wall-connected twin buildings	0
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties	0
Cohomogeneity one central Kähler metrics in dimension four	0
Regular parallelisms on PG(3,ℝ) from generalized line stars: the oriented case	0

Deformation cones of Tesler polytopes	0
A note on polarized varieties with high nef value	0
Shellable tilings on relative simplicial complexes and their h-vectors	0
The wobbly divisors of the moduli space of rank-2 vector bundles	0
On nilpotent automorphism groups of function fields	0
On Huisman’s conjectures about unramified real curves	0
Real hypersurfaces in ℂP ² and ℂH ² with constant scalar curvature	0
An Abel–Jacobi theorem for metrized complexes of Riemann surfaces	0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety	0
Frontmatter	0
Positive semigroups in lattices and totally real number fields	0
Towards resolving Keller’s cube tiling conjecture in dimension seven	0
An ????_p²-maximal Wiman sextic and its automorphisms	0
Topology of tropical moduli spaces of weighted stable curves in higher genus	0
Equiangular lines in ℂ³	0
Approximating coarse Ricci curvature on submanifolds of Euclidean space	0
Sharply transitive sets in PGL₂(K)	0
Frontmatter	0
On nearly optimal paper Moebius bands	0
Betweenness isomorphisms in the plane — the case of a circle and points	0
Two examples of harmonic maps into spheres	0
An extremum problem for the power moment of a convex polygon contained in a disc	0
A partial compactification of the Bridgeland stability manifold	0
Bach flow of simply connected nilmanifolds	0
Study of the cone of sums of squares plus sums of nonnegative circuit forms	0
Polyhedral compactifications, I	0
Geometric characterisation of subvarieties of ????₆(????) related to the ternions and sextonions	0
Local quasi-isometries and tangent cones of definable germs	0
On the bond polytope	0
Frontmatter	0
PL Morse theory in low dimensions	0
How to construct all metric f-K-contact manifolds	0
Mean surface and volume particle tensors under L-restricted isotropy and associated ellipsoids	0
Explicit construction of decomposable Jacobians	0
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization	0
Explicit p-harmonic functions on the real Grassmannians	0
Cones between the cones of positive semidefinite forms and sums of squares	0
An isomorphism between unitals and between related classical groups	0
Projective self-dual polygons in higher dimensions	0
Convex cones spanned by regular polytopes	0
Convex Fujita numbers are not determined by the fundamental group	0
Frontmatter	0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes	0
Duality related with key varieties of ℚ-Fano threefolds constructed from projective bundles	0
Rank one sheaves over quaternion algebras on Enriques surfaces	0
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35	0
The geometry of discrete L-algebras	0
Deformations of pairs of codimension one foliations	0
A few more extensions of Putinar’s Positivstellensatz to non-compact sets	0
Tetrahedral cages for unit discs	0
Frontmatter	0
A new axiomatics for masures II	0
Bridgeland stability conditions on surfaces with curves of negative self-intersection	0
Desargues’ Theorem in Laguerre Planes	0
On the Jacobian locus in the Prym locus and geodesics	0
Frontmatter	0
Stein domains in ℂ² with prescribed boundary	0
Inequalities for f ^*-vectors of lattice polytopes	0
Extremizers of the Alexandrov–Fenchel inequality within a new class of convex bodies	0
Arithmetic counts of tropical plane curves and their properties	0
Characterization of the sphere and of bodies of revolution by means of Larman points	0
Frontmatter	0
Abelian branched covers of rational surfaces	0
Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two	0
Open books and embeddings of smooth and contact manifolds	0
The Malgrange–Galois groupoid of the Painlevé VI equation with parameters	0
Quasimorphisms on nonorientable surface diffeomorphism groups	0
Cylinders in smooth del Pezzo surfaces of degree 2	0
A characterization of centrally symmetric convex bodies in terms of visual cones	0
Boomerang uniformity of power permutations and algebraic curves over ????₂ⁿ	0
Locally homogeneous non-gradient quasi-Einstein 3-manifolds	0
Harmonic sections of vector bundles with spherically symmetric metrics	0
Fundamental polyhedra of projective elementary groups	0