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 2021-11-01 to 2025-11-01.)

Article	Citations
Computation of Dressians by dimensional reduction	13
Helmut Salzmann and his legacy	6
Anisotropic area-preserving nonlocal flow for closed convex plane curves	6
Frontmatter	5
Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving	4
On projections of free semialgebraic sets	4
On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces	4
Hilton–Milner results in projective and affine spaces	4
Tropical Poincaré duality spaces	4
Variations on the Weak Bounded Negativity Conjecture	3
Ehrhart theory of paving and panhandle matroids	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
The prime grid contains arbitrarily large empty polygons	2
On trialities and their absolute geometries	2
Fano fourfolds having a prime divisor of Picard number 1	2
Some observations on conformal symmetries of G ₂-structures	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
Poisson Structures on moduli spaces of Higgs bundles over stacky curves	2
Erratum for "Tropical superelliptic curves"	2
Locally classical stable planes	2
Semistable Higgs bundles on elliptic surfaces	2
Continuous CM-regularity and generic vanishing	2
Weierstrass semigroups for maximal curves realizable as Harbater–Katz–Gabber covers	2

Exploring tropical differential equations	1
The total absolute curvature of closed curves with singularities	1
Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs	1
Exploring the interplay of semistable vector bundles and their restrictions on reducible curves	1
Ulrich trichotomy on del Pezzo surfaces	1
The simultaneous lattice packing-covering constant of octahedra	1
The partition of PG(2, q ³) arising from an order 3 planar collineation	1
On the rigidity of harmonic-Ricci solitons	1
New sextics of genus 6 and 10 attaining the Serre bound	1
Closed Majorana representations of {3, 4}⁺-transposition groups	1
Counting isolated points outside the image of a polynomial map	1
On automorphisms of semistableG-bundles with decorations	1
The balanced superelliptic mapping class groups are generated by three elements	1
The complexity of orientable graph manifolds	1
Frontmatter	1
Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities	1
An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space	1
Some remarks on proper actions, proper metric spaces, and buildings	1
Frontmatter	1
The moduli space of tropical curves with fixed Newton polygon	1
Ricci almost solitons with associated projective vector field	1
Universal convex covering problems under translations and discrete rotations	1
Special divisors on real trigonal curves	1
Characterizations of symplectic polar spaces	1
The optimal twisted paper cylinder	1
Pseudoholomorphic curves on the LCS-fication of contact manifolds	1
Real hypersurfaces in ℂP ² and ℂH ² with constant scalar curvature	0
Chow groups of Gushel–Mukai fivefolds	0
Arithmetic counts of tropical plane curves and their properties	0
Convex Fujita numbers are not determined by the fundamental group	0
The geometry of locally bounded rational functions	0
Shellable tilings on relative simplicial complexes and their h-vectors	0
Boomerang uniformity of power permutations and algebraic curves over ????₂ⁿ	0
Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two	0
The Malgrange–Galois groupoid of the Painlevé VI equation with parameters	0
Towards resolving Keller’s cube tiling conjecture in dimension seven	0
Projective self-dual polygons in higher dimensions	0
Convex cones spanned by regular polytopes	0
The feet of orthogonal Buekenhout–Metz unitals	0
Locally homogeneous non-gradient quasi-Einstein 3-manifolds	0
Positive semigroups in lattices and totally real number fields	0
Frontmatter	0
Some rigidity results on q-solitons	0
Approximating coarse Ricci curvature on submanifolds of Euclidean space	0
PL Morse theory in low dimensions	0
Two examples of harmonic maps into spheres	0
Frontmatter	0
Bridgeland stability conditions on surfaces with curves of negative self-intersection	0
A partial compactification of the Bridgeland stability manifold	0
Betweenness isomorphisms in the plane — the case of a circle and points	0

Frontmatter	0
Open books and embeddings of smooth and contact manifolds	0
Extremizers of the Alexandrov–Fenchel inequality within a new class of convex bodies	0
Birational rigidity of quartic three-folds with a double point of rank 3	0
Cohomogeneity one central Kähler metrics in dimension four	0
On partially ample Ulrich bundles	0
An Abel–Jacobi theorem for metrized complexes of Riemann surfaces	0
Bach flow of simply connected nilmanifolds	0
Polyhedral combinatorics of bisectors	0
Frontmatter	0
Rotational cmc surfaces in terms of Jacobi elliptic functions	0
Generalized Shioda–Inose structures of order 3	0
Regular parallelisms on PG(3,ℝ) from generalized line stars: the oriented case	0
Fundamental polyhedra of projective elementary groups	0
Relative Lipschitz saturation of complex algebraic varieties	0
Explicit construction of decomposable Jacobians	0
Ramification points of homotopies: Enumeration and general theory	0
Cones between the cones of positive semidefinite forms and sums of squares	0
Abelian branched covers of rational surfaces	0
Characterization of the sphere and of bodies of revolution by means of Larman points	0
New rigidity results for critical metrics of some quadratic curvature functionals	0
Harmonic sections of vector bundles with spherically symmetric metrics	0
Equiangular lines in ℂ³	0
Frontmatter	0
Frontmatter	0
On Ricci negative derivations	0
Inequalities for f ^*-vectors of lattice polytopes	0
A few more extensions of Putinar’s Positivstellensatz to non-compact sets	0
Quasimorphisms on nonorientable surface diffeomorphism groups	0
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35	0
Positive Ricci curvature on fiber bundles with compact structure group	0
Split Cayley hexagons via subalgebras of octonion algebras	0
On nearly optimal paper Moebius bands	0
Lower bound on the translative covering density of octahedra	0
Simple obstructions and cone reduction	0
Flocks in topological circle planes and their representation in generalised quadrangles	0
Mean surface and volume particle tensors under L-restricted isotropy and associated ellipsoids	0
Stein domains in ℂ² with prescribed boundary	0
Deformations of pairs of codimension one foliations	0
Frontmatter	0
The Hoffman–Singleton manifold	0
Polyhedral compactifications, I	0
Explicit p-harmonic functions on the real Grassmannians	0
Frontmatter	0
Local quasi-isometries and tangent cones of definable germs	0
On the bond polytope	0
Deformation cones of Tesler polytopes	0
Study of the cone of sums of squares plus sums of nonnegative circuit forms	0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety	0
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization	0
Another proof of Segre’s theorem about ovals	0
Frontmatter	0
Cylinders in smooth del Pezzo surfaces of degree 2	0
A characterization of centrally symmetric convex bodies in terms of visual cones	0
Duality related with key varieties of ℚ-Fano threefolds constructed from projective bundles	0
On the generalized Suzuki curve	0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes	0
The geometry of discrete L-algebras	0
Frontmatter	0
Well-rounded lattices from odd prime degree number fields in the ramified case	0
Topology of tropical moduli spaces of weighted stable curves in higher genus	0
Godbersen’s conjecture for locally anti-blocking bodies	0
On some relations between the perimeter, the area and the visual angle of a convex set	0
Frontmatter	0
An isomorphism between unitals and between related classical groups	0
A new axiomatics for masures II	0
Combinatorics of stratified hyperbolic slices	0
Isometries of wall-connected twin buildings	0
Desargues’ Theorem in Laguerre Planes	0
Geometric characterisation of subvarieties of ????₆(????) related to the ternions and sextonions	0
On the Jacobian locus in the Prym locus and geodesics	0
A Hilbert metric for bounded symmetric domains	0
Eigenforms of hyperelliptic curves with many automorphisms	0
Explicit Nikulin configurations on Kummer surfaces	0
A note on polarized varieties with high nef value	0
Frontmatter	0
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties	0