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 2022-08-01 to 2026-08-01.)

Article	Citations
Helmut Salzmann and his legacy	7
Frontmatter	6
Tropical Poincaré duality spaces	4
On projections of free semialgebraic sets	4
Hilton–Milner results in projective and affine spaces	3
On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces	3
Uniqueness of maximal inscribed parabolas and minimal circumscribing horocycles	3
Compact locally homogeneous manifolds with parallel Weyl tensor	3
Anisotropic area-preserving nonlocal flow for closed convex plane curves	3
Variations on the Weak Bounded Negativity Conjecture	3
The prime grid contains arbitrarily large empty polygons	3
Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving	3
Extensions of the Bonnet–Myers Theorem	3
Quotient spaces of K3 surfaces by non-symplectic involutions fixing a curve of genus 8 or more	3
Locally classical stable planes	3
Kac–Moody symmetric spaces: arbitrary symmetrizable complex or almost split real type	2
Rigid-flexible values for embeddings of four-dimensional ellipsoids into almost-cubes	2
Some observations on conformal symmetries of G ₂-structures	2
Torsion-free connections with prescribed curvature	2
Poisson Structures on moduli spaces of Higgs bundles over stacky curves	2
Fano fourfolds having a prime divisor of Picard number 1	2
Boundary of equisymmetric loci of Riemann surfaces with abelian symmetry	2
Classification of trees that quasi-inscribe rectangles in the hyperbolic plane	2
The Bogomolov–Gieseker–Koseki inequality on surfaces with canonical singularities in arbitrary characteristic	2
On trialities and their absolute geometries	2

Continuous CM-regularity and generic vanishing	2
Ehrhart theory of paving and panhandle matroids	2
New sextics of genus 6 and 10 attaining the Serre bound	1
Special divisors on real trigonal curves	1
Characterizations of symplectic polar spaces	1
The partition of PG(2, q ³) arising from an order 3 planar collineation	1
Frontmatter	1
Frontmatter	1
Exploring tropical differential equations	1
Frontmatter	1
Cyclotomic function fields over finite fields with irreducible quadratic modulus	1
Non-negative polynomials without hyperbolic certificates of non-negativity	1
CM theory, maximal hyperelliptic curves, and Chebyshev polynomials	1
Pseudoholomorphic curves on the LCS-fication of contact manifolds	1
Ulrich trichotomy on del Pezzo surfaces	1
Erratum for "Tropical superelliptic curves"	1
Exploring the interplay of semistable vector bundles and their restrictions on reducible curves	1
Some remarks on proper actions, proper metric spaces, and buildings	1
Frontmatter	1
On partially ample Ulrich bundles	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
The optimal twisted paper cylinder	1
The balanced superelliptic mapping class groups are generated by three elements	1
Closed Majorana representations of {3, 4}⁺-transposition groups	1
The Hoffman–Singleton manifold	1
Polyhedral combinatorics of bisectors	1
Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs	1
On automorphisms of semistableG-bundles with decorations	1
Generalized Shioda–Inose structures of order 3	0
Frontmatter	0
Tileable surfaces	0
Combinatorics of stratified hyperbolic slices	0
Automorphisms of Lie incidence geometries with spectral gaps	0
Cones between the cones of positive semidefinite forms and sums of squares	0
Lower bound on the translative covering density of octahedra	0
A Delzant type theorem for torus-equivariantly embedded toric hypersurfaces	0
New rigidity results for critical metrics of some quadratic curvature functionals	0
Isometries of wall-connected twin buildings	0
Frontmatter	0
Decomposition of jacobians of generalized Fermat curves	0
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties	0
The feet of orthogonal Buekenhout–Metz unitals	0
Cylinders in smooth del Pezzo surfaces of degree 2	0
An Abel–Jacobi theorem for metrized complexes of Riemann surfaces	0
Equiangular lines in ℂ³	0
Abelian branched covers of rational surfaces	0
Frontmatter	0
On nearly optimal paper Moebius bands	0

An isomorphism between unitals and between related classical groups	0
Godbersen’s conjecture for locally anti-blocking bodies	0
Eigenforms of hyperelliptic curves with many automorphisms	0
Lissajous varieties	0
Flocks in topological circle planes and their representation in generalised quadrangles	0
Open books and embeddings of smooth and contact manifolds	0
Topology of tropical moduli spaces of weighted stable curves in higher genus	0
Rotational cmc surfaces in terms of Jacobi elliptic functions	0
A note on polarized varieties with high nef value	0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes	0
Deformation cones of Tesler polytopes	0
Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two	0
Split Cayley hexagons via subalgebras of octonion algebras	0
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization	0
Explicit p-harmonic functions on the real Grassmannians	0
Boomerang uniformity of power permutations and algebraic curves over ????₂ⁿ	0
Projective self-dual polygons in higher dimensions	0
Polyhedral compactifications, I	0
Ramification points of homotopies: Enumeration and general theory	0
Frontmatter	0
Extremizers of the Alexandrov–Fenchel inequality within a new class of convex bodies	0
Convex Fujita numbers are not determined by the fundamental group	0
Deformations of pairs of codimension one foliations	0
Local quasi-isometries and tangent cones of definable germs	0
Fundamental polyhedra of projective elementary groups	0
Bach flow of simply connected nilmanifolds	0
The geometry of discrete L-algebras	0
Desargues’ Theorem in Laguerre Planes	0
Explicit construction of decomposable Jacobians	0
Inequalities for f ^*-vectors of lattice polytopes	0
A Hilbert metric for bounded symmetric domains	0
Combinatorics of pruned Hurwitz numbers	0
A new axiomatics for masures II	0
Cohomogeneity one central Kähler metrics in dimension four	0
Frontmatter	0
Frontmatter	0
Frontmatter	0
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35	0
Frontmatter	0
Simple obstructions and cone reduction	0
Study of the cone of sums of squares plus sums of nonnegative circuit forms	0
The geometry of locally bounded rational functions	0
A Brill–Noether theorem for (toric) surfaces	0
Quasimorphisms on nonorientable surface diffeomorphism groups	0
Betweenness isomorphisms in the plane — the case of a circle and points	0
Characterization of the sphere and of bodies of revolution by means of Larman points	0
Compactified symplectic leaves in bundle moduli spaces	0
Lower bound results for conditionally decomposable polytopes	0
On the generalized Suzuki curve	0
On some relations between the perimeter, the area and the visual angle of a convex set	0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety	0
Well-rounded lattices from odd prime degree number fields in the ramified case	0
Mean surface and volume particle tensors under L-restricted isotropy and associated ellipsoids	0
On the bond polytope	0
Birational rigidity of quartic three-folds with a double point of rank 3	0
Regular parallelisms on PG(3,ℝ) from generalized line stars: the oriented case	0
Duality related with key varieties of ℚ-Fano threefolds constructed from projective bundles	0
Shellable tilings on relative simplicial complexes and their h-vectors	0
The Ehrhart polynomial of a matroid specializes to the β -invariant	0
Relative Lipschitz saturation of complex algebraic varieties	0
Another proof of Segre’s theorem about ovals	0
Crepant transformation correspondence for toric stack bundles	0
Automorphisms and opposition in spherical buildings of classical type	0
Arithmetic counts of tropical plane curves and their properties	0
A partial compactification of the Bridgeland stability manifold	0
Frontmatter	0
Schubert cells of mixed type in complex Lagrangian Grassmannians	0
Frontmatter	0
Some rigidity results on q-solitons	0
PL Morse theory in low dimensions	0
Chow groups of Gushel–Mukai fivefolds	0