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 2022-06-01 to 2026-06-01.)

Article	Citations
Computation of Dressians by dimensional reduction	7
Anisotropic area-preserving nonlocal flow for closed convex plane curves	6
Frontmatter	4
Helmut Salzmann and his legacy	4
Tropical Poincaré duality spaces	3
Uniqueness of maximal inscribed parabolas and minimal circumscribing horocycles	3
On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces	3
Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving	3
Variations on the Weak Bounded Negativity Conjecture	3
On projections of free semialgebraic sets	3
Hilton–Milner results in projective and affine spaces	3
Compact locally homogeneous manifolds with parallel Weyl tensor	3
The prime grid contains arbitrarily large empty polygons	2
Ehrhart theory of paving and panhandle matroids	2
Kac–Moody symmetric spaces: arbitrary symmetrizable complex or almost split real type	2
Fano fourfolds having a prime divisor of Picard number 1	2
Some observations on conformal symmetries of G ₂-structures	2
Locally classical stable planes	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
Rigid-flexible values for embeddings of four-dimensional ellipsoids into almost-cubes	2
Weierstrass semigroups for maximal curves realizable as Harbater–Katz–Gabber covers	2
Quotient spaces of K3 surfaces by non-symplectic involutions fixing a curve of genus 8 or more	2
Classification of trees that quasi-inscribe rectangles in the hyperbolic plane	2
On trialities and their absolute geometries	2

Boundary of equisymmetric loci of Riemann surfaces with abelian symmetry	2
Continuous CM-regularity and generic vanishing	2
Exploring tropical differential equations	1
Erratum for "Tropical superelliptic curves"	1
Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities	1
Frontmatter	1
Special divisors on real trigonal curves	1
Exploring the interplay of semistable vector bundles and their restrictions on reducible curves	1
Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs	1
On automorphisms of semistableG-bundles with decorations	1
Universal convex covering problems under translations and discrete rotations	1
The partition of PG(2, q ³) arising from an order 3 planar collineation	1
Characterizations of symplectic polar spaces	1
The simultaneous lattice packing-covering constant of octahedra	1
The total absolute curvature of closed curves with singularities	1
The balanced superelliptic mapping class groups are generated by three elements	1
Cyclotomic function fields over finite fields with irreducible quadratic modulus	1
Frontmatter	1
New sextics of genus 6 and 10 attaining the Serre bound	1
The optimal twisted paper cylinder	1
Ulrich trichotomy on del Pezzo surfaces	1
Pseudoholomorphic curves on the LCS-fication of contact manifolds	1
Frontmatter	1
Non-negative polynomials without hyperbolic certificates of non-negativity	1
Closed Majorana representations of {3, 4}⁺-transposition groups	1
A note on polarized varieties with high nef value	0
Another proof of Segre’s theorem about ovals	0
Deformations of pairs of codimension one foliations	0
The Malgrange–Galois groupoid of the Painlevé VI equation with parameters	0
Frontmatter	0
Topology of tropical moduli spaces of weighted stable curves in higher genus	0
Some remarks on proper actions, proper metric spaces, and buildings	0
Open books and embeddings of smooth and contact manifolds	0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes	0
Birational rigidity of quartic three-folds with a double point of rank 3	0
Deformation cones of Tesler polytopes	0
A Brill–Noether theorem for (toric) surfaces	0
Fundamental polyhedra of projective elementary groups	0
Generalized Shioda–Inose structures of order 3	0
Betweenness isomorphisms in the plane — the case of a circle and points	0
Frontmatter	0
Quasimorphisms on nonorientable surface diffeomorphism groups	0
Explicit p-harmonic functions on the real Grassmannians	0
A Delzant type theorem for torus-equivariantly embedded toric hypersurfaces	0
Projective self-dual polygons in higher dimensions	0
Some rigidity results on q-solitons	0
The feet of orthogonal Buekenhout–Metz unitals	0
Frontmatter	0
Mean surface and volume particle tensors under L-restricted isotropy and associated ellipsoids	0
Equiangular lines in ℂ³	0

Bridgeland stability conditions on surfaces with curves of negative self-intersection	0
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties	0
Frontmatter	0
Simple obstructions and cone reduction	0
Regular parallelisms on PG(3,ℝ) from generalized line stars: the oriented case	0
Extremizers of the Alexandrov–Fenchel inequality within a new class of convex bodies	0
Abelian branched covers of rational surfaces	0
On the bond polytope	0
An Abel–Jacobi theorem for metrized complexes of Riemann surfaces	0
Well-rounded lattices from odd prime degree number fields in the ramified case	0
PL Morse theory in low dimensions	0
On partially ample Ulrich bundles	0
Study of the cone of sums of squares plus sums of nonnegative circuit forms	0
Frontmatter	0
Bach flow of simply connected nilmanifolds	0
Frontmatter	0
Characterization of the sphere and of bodies of revolution by means of Larman points	0
The geometry of locally bounded rational functions	0
On some relations between the perimeter, the area and the visual angle of a convex set	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
Split Cayley hexagons via subalgebras of octonion algebras	0
Convex Fujita numbers are not determined by the fundamental group	0
Cones between the cones of positive semidefinite forms and sums of squares	0
Compactified symplectic leaves in bundle moduli spaces	0
Relative Lipschitz saturation of complex algebraic varieties	0
New rigidity results for critical metrics of some quadratic curvature functionals	0
Isometries of wall-connected twin buildings	0
Duality related with key varieties of ℚ-Fano threefolds constructed from projective bundles	0
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization	0
Desargues’ Theorem in Laguerre Planes	0
The geometry of discrete L-algebras	0
Frontmatter	0
On nearly optimal paper Moebius bands	0
Inequalities for f ^*-vectors of lattice polytopes	0
Automorphisms and opposition in spherical buildings of classical type	0
Arithmetic counts of tropical plane curves and their properties	0
Cohomogeneity one central Kähler metrics in dimension four	0
Explicit construction of decomposable Jacobians	0
Godbersen’s conjecture for locally anti-blocking bodies	0
An isomorphism between unitals and between related classical groups	0
Polyhedral combinatorics of bisectors	0
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35	0
The Hoffman–Singleton manifold	0
Frontmatter	0
Lissajous varieties	0
Lower bound on the translative covering density of octahedra	0
Chow groups of Gushel–Mukai fivefolds	0
Frontmatter	0
Rotational cmc surfaces in terms of Jacobi elliptic functions	0
Decomposition of jacobians of generalized Fermat curves	0
Frontmatter	0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety	0
Tileable surfaces	0
Combinatorics of stratified hyperbolic slices	0
Lower bound results for conditionally decomposable polytopes	0
Cylinders in smooth del Pezzo surfaces of degree 2	0
A partial compactification of the Bridgeland stability manifold	0
Ramification points of homotopies: Enumeration and general theory	0
On the generalized Suzuki curve	0
A Hilbert metric for bounded symmetric domains	0
Flocks in topological circle planes and their representation in generalised quadrangles	0
A new axiomatics for masures II	0
Polyhedral compactifications, I	0
The Ehrhart polynomial of a matroid specializes to the β -invariant	0
Frontmatter	0
Local quasi-isometries and tangent cones of definable germs	0
Crepant transformation correspondence for toric stack bundles	0
Eigenforms of hyperelliptic curves with many automorphisms	0
Shellable tilings on relative simplicial complexes and their h-vectors	0