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 2022-01-01 to 2026-01-01.)

Article	Citations
Computation of Dressians by dimensional reduction	15
Anisotropic area-preserving nonlocal flow for closed convex plane curves	6
Helmut Salzmann and his legacy	6
Hilton–Milner results in projective and affine spaces	5
Frontmatter	5
On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces	4
Tropical Poincaré duality spaces	4
On projections of free semialgebraic sets	4
Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving	4
The prime grid contains arbitrarily large empty polygons	3
Classification of trees that quasi-inscribe rectangles in the hyperbolic plane	3
Variations on the Weak Bounded Negativity Conjecture	3
Ehrhart theory of paving and panhandle matroids	3
On trialities and their absolute geometries	3
Compact locally homogeneous manifolds with parallel Weyl tensor	3
Quotient spaces of K3 surfaces by non-symplectic involutions fixing a curve of genus 8 or more	3
Locally classical stable planes	3
The optimal twisted paper cylinder	2
Erratum for "Tropical superelliptic curves"	2
The Bogomolov–Gieseker–Koseki inequality on surfaces with canonical singularities in arbitrary characteristic	2
Weierstrass semigroups for maximal curves realizable as Harbater–Katz–Gabber covers	2
The partition of PG(2, q ³) arising from an order 3 planar collineation	2
Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities	2
Fano fourfolds having a prime divisor of Picard number 1	2
Some observations on conformal symmetries of G ₂-structures	2

On the rigidity of harmonic-Ricci solitons	2
Pseudoholomorphic curves on the LCS-fication of contact manifolds	2
Continuous CM-regularity and generic vanishing	2
Semistable Higgs bundles on elliptic surfaces	2
Poisson Structures on moduli spaces of Higgs bundles over stacky curves	2
New sextics of genus 6 and 10 attaining the Serre bound	1
Frontmatter	1
Ulrich trichotomy on del Pezzo surfaces	1
Ricci almost solitons with associated projective vector field	1
On automorphisms of semistableG-bundles with decorations	1
Frontmatter	1
Frontmatter	1
The moduli space of tropical curves with fixed Newton polygon	1
Exploring tropical differential equations	1
An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space	1
Special divisors on real trigonal curves	1
Exploring the interplay of semistable vector bundles and their restrictions on reducible curves	1
Explicit Nikulin configurations on Kummer surfaces	1
The Hoffman–Singleton manifold	1
Some remarks on proper actions, proper metric spaces, and buildings	1
Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs	1
Closed Majorana representations of {3, 4}⁺-transposition groups	1
The total absolute curvature of closed curves with singularities	1
The complexity of orientable graph manifolds	1
The simultaneous lattice packing-covering constant of octahedra	1
Characterizations of symplectic polar spaces	1
Universal convex covering problems under translations and discrete rotations	1
On partially ample Ulrich bundles	1
Polyhedral combinatorics of bisectors	1
Counting isolated points outside the image of a polynomial map	1
The balanced superelliptic mapping class groups are generated by three elements	1
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization	0
Combinatorics of stratified hyperbolic slices	0
A few more extensions of Putinar’s Positivstellensatz to non-compact sets	0
Cones between the cones of positive semidefinite forms and sums of squares	0
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties	0
Fundamental polyhedra of projective elementary groups	0
New rigidity results for critical metrics of some quadratic curvature functionals	0
Geometric characterisation of subvarieties of ????₆(????) related to the ternions and sextonions	0
Frontmatter	0
Frontmatter	0
Local quasi-isometries and tangent cones of definable germs	0
Duality related with key varieties of ℚ-Fano threefolds constructed from projective bundles	0
Deformations of pairs of codimension one foliations	0
An Abel–Jacobi theorem for metrized complexes of Riemann surfaces	0
On the bond polytope	0
Abelian branched covers of rational surfaces	0
Inequalities for f ^*-vectors of lattice polytopes	0
Projective self-dual polygons in higher dimensions	0
An isomorphism between unitals and between related classical groups	0

A new axiomatics for masures II	0
On nearly optimal paper Moebius bands	0
Harmonic sections of vector bundles with spherically symmetric metrics	0
On the Jacobian locus in the Prym locus and geodesics	0
A Hilbert metric for bounded symmetric domains	0
Desargues’ Theorem in Laguerre Planes	0
Eigenforms of hyperelliptic curves with many automorphisms	0
On Ricci negative derivations	0
Frontmatter	0
A note on polarized varieties with high nef value	0
Study of the cone of sums of squares plus sums of nonnegative circuit forms	0
Deformation cones of Tesler polytopes	0
Frontmatter	0
Open books and embeddings of smooth and contact manifolds	0
Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two	0
Betweenness isomorphisms in the plane — the case of a circle and points	0
Explicit p-harmonic functions on the real Grassmannians	0
Real hypersurfaces in ℂP ² and ℂH ² with constant scalar curvature	0
Frontmatter	0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety	0
On the generalized Suzuki curve	0
Mean surface and volume particle tensors under L-restricted isotropy and associated ellipsoids	0
Ramification points of homotopies: Enumeration and general theory	0
Well-rounded lattices from odd prime degree number fields in the ramified case	0
Arithmetic counts of tropical plane curves and their properties	0
Flocks in topological circle planes and their representation in generalised quadrangles	0
Isometries of wall-connected twin buildings	0
Equiangular lines in ℂ³	0
Relative Lipschitz saturation of complex algebraic varieties	0
Another proof of Segre’s theorem about ovals	0
Godbersen’s conjecture for locally anti-blocking bodies	0
Polyhedral compactifications, I	0
Shellable tilings on relative simplicial complexes and their h-vectors	0
Positive Ricci curvature on fiber bundles with compact structure group	0
Frontmatter	0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes	0
Frontmatter	0
Extremizers of the Alexandrov–Fenchel inequality within a new class of convex bodies	0
Rotational cmc surfaces in terms of Jacobi elliptic functions	0
Cohomogeneity one central Kähler metrics in dimension four	0
Topology of tropical moduli spaces of weighted stable curves in higher genus	0
Chow groups of Gushel–Mukai fivefolds	0
Frontmatter	0
A characterization of centrally symmetric convex bodies in terms of visual cones	0
The geometry of locally bounded rational functions	0
Split Cayley hexagons via subalgebras of octonion algebras	0
Some rigidity results on q-solitons	0
Quasimorphisms on nonorientable surface diffeomorphism groups	0
Lower bound on the translative covering density of octahedra	0
Convex Fujita numbers are not determined by the fundamental group	0
Cylinders in smooth del Pezzo surfaces of degree 2	0
Bach flow of simply connected nilmanifolds	0
Boomerang uniformity of power permutations and algebraic curves over ????₂ⁿ	0
Locally homogeneous non-gradient quasi-Einstein 3-manifolds	0
Frontmatter	0
Towards resolving Keller’s cube tiling conjecture in dimension seven	0
Approximating coarse Ricci curvature on submanifolds of Euclidean space	0
Regular parallelisms on PG(3,ℝ) from generalized line stars: the oriented case	0
The feet of orthogonal Buekenhout–Metz unitals	0
Explicit construction of decomposable Jacobians	0
Frontmatter	0
Bridgeland stability conditions on surfaces with curves of negative self-intersection	0
The Malgrange–Galois groupoid of the Painlevé VI equation with parameters	0
Two examples of harmonic maps into spheres	0
Birational rigidity of quartic three-folds with a double point of rank 3	0
Convex cones spanned by regular polytopes	0
A partial compactification of the Bridgeland stability manifold	0
Simple obstructions and cone reduction	0
Positive semigroups in lattices and totally real number fields	0
The geometry of discrete L-algebras	0
Stein domains in ℂ² with prescribed boundary	0
Characterization of the sphere and of bodies of revolution by means of Larman points	0
Frontmatter	0
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35	0
Generalized Shioda–Inose structures of order 3	0
On some relations between the perimeter, the area and the visual angle of a convex set	0
PL Morse theory in low dimensions	0