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 2021-09-01 to 2025-09-01.)

Article	Citations
Computation of Dressians by dimensional reduction	10
Frontmatter	6
Hilton–Milner results in projective and affine spaces	6
Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving	5
On projections of free semialgebraic sets	4
Anisotropic area-preserving nonlocal flow for closed convex plane curves	4
Helmut Salzmann and his legacy	4
On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces	3
Quotient spaces of K3 surfaces by non-symplectic involutions fixing a curve of genus 8 or more	3
Tropical Poincaré duality spaces	3
Symmetries of complex analytic vector fields with an essential singularity on the Riemann sphere	3
Compact locally homogeneous manifolds with parallel Weyl tensor	2
Variations on the Weak Bounded Negativity Conjecture	2
The Bogomolov–Gieseker–Koseki inequality on surfaces with canonical singularities in arbitrary characteristic	2
Fano fourfolds having a prime divisor of Picard number 1	2
The prime grid contains arbitrarily large empty polygons	2
Weierstrass semigroups for maximal curves realizable as Harbater–Katz–Gabber covers	2
Ehrhart theory of paving and panhandle matroids	2
Semistable Higgs bundles on elliptic surfaces	2
On trialities and their absolute geometries	2
The total absolute curvature of closed curves with singularities	1
Continuous CM-regularity and generic vanishing	1
The partition of PG(2, q ³) arising from an order 3 planar collineation	1
Counting isolated points outside the image of a polynomial map	1
Ricci almost solitons with associated projective vector field	1

The moduli space of tropical curves with fixed Newton polygon	1
Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs	1
The simultaneous lattice packing-covering constant of octahedra	1
Ulrich trichotomy on del Pezzo surfaces	1
On the rigidity of harmonic-Ricci solitons	1
Some observations on conformal symmetries of G ₂-structures	1
An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space	1
Exploring tropical differential equations	1
Exploring the interplay of semistable vector bundles and their restrictions on reducible curves	1
Universal convex covering problems under translations and discrete rotations	1
Frontmatter	1
Frontmatter	1
Pseudoholomorphic curves on the LCS-fication of contact manifolds	1
Erratum for "Tropical superelliptic curves"	1
Poisson Structures on moduli spaces of Higgs bundles over stacky curves	1
New sextics of genus 6 and 10 attaining the Serre bound	1
The balanced superelliptic mapping class groups are generated by three elements	1
On automorphisms of semistableG-bundles with decorations	1
The complexity of orientable graph manifolds	1
Closed Majorana representations of {3, 4}⁺-transposition groups	1
Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities	1
Characterizations of symplectic polar spaces	1
Equiangular lines in ℂ³	0
A Hilbert metric for bounded symmetric domains	0
On nearly optimal paper Moebius bands	0
Well-rounded lattices from odd prime degree number fields in the ramified case	0
An extremum problem for the power moment of a convex polygon contained in a disc	0
Explicit Nikulin configurations on Kummer surfaces	0
An Abel–Jacobi theorem for metrized complexes of Riemann surfaces	0
PL Morse theory in low dimensions	0
Frontmatter	0
Real hypersurfaces in ℂP ² and ℂH ² with constant scalar curvature	0
Explicit construction of decomposable Jacobians	0
Deformation cones of Tesler polytopes	0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety	0
The Malgrange–Galois groupoid of the Painlevé VI equation with parameters	0
Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two	0
Cohomogeneity one central Kähler metrics in dimension four	0
Towards resolving Keller’s cube tiling conjecture in dimension seven	0
Harmonic sections of vector bundles with spherically symmetric metrics	0
Cylinders in smooth del Pezzo surfaces of degree 2	0
Mean surface and volume particle tensors under L-restricted isotropy and associated ellipsoids	0
Deformations of pairs of codimension one foliations	0
On Ricci negative derivations	0
Locally homogeneous non-gradient quasi-Einstein 3-manifolds	0
Some rigidity results on q-solitons	0
Inequalities for f ^*-vectors of lattice polytopes	0
Isometries of wall-connected twin buildings	0
An ????_p²-maximal Wiman sextic and its automorphisms	0
Betweenness isomorphisms in the plane — the case of a circle and points	0

A new axiomatics for masures II	0
Relative Lipschitz saturation of complex algebraic varieties	0
Combinatorics of stratified hyperbolic slices	0
On the Jacobian locus in the Prym locus and geodesics	0
Frontmatter	0
Frontmatter	0
Geometric characterisation of subvarieties of ????₆(????) related to the ternions and sextonions	0
Open books and embeddings of smooth and contact manifolds	0
Some remarks on proper actions, proper metric spaces, and buildings	0
Regular parallelisms on PG(3,ℝ) from generalized line stars: the oriented case	0
Frontmatter	0
Local quasi-isometries and tangent cones of definable germs	0
Explicit p-harmonic functions on the real Grassmannians	0
Abelian branched covers of rational surfaces	0
Chow groups of Gushel–Mukai fivefolds	0
On the bond polytope	0
On Huisman’s conjectures about unramified real curves	0
The geometry of locally bounded rational functions	0
Convex Fujita numbers are not determined by the fundamental group	0
Another proof of Segre’s theorem about ovals	0
Quasimorphisms on nonorientable surface diffeomorphism groups	0
Frontmatter	0
Duality related with key varieties of ℚ-Fano threefolds constructed from projective bundles	0
Positive semigroups in lattices and totally real number fields	0
Projective self-dual polygons in higher dimensions	0
A note on polarized varieties with high nef value	0
The geometry of discrete L-algebras	0
Topology of tropical moduli spaces of weighted stable curves in higher genus	0
On the generalized Suzuki curve	0
A few more extensions of Putinar’s Positivstellensatz to non-compact sets	0
Godbersen’s conjecture for locally anti-blocking bodies	0
A characterization of centrally symmetric convex bodies in terms of visual cones	0
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization	0
Split Cayley hexagons via subalgebras of octonion algebras	0
Positive Ricci curvature on fiber bundles with compact structure group	0
Desargues’ Theorem in Laguerre Planes	0
Polyhedral compactifications, I	0
Simple obstructions and cone reduction	0
Lower bound on the translative covering density of octahedra	0
Bridgeland stability conditions on surfaces with curves of negative self-intersection	0
Extremizers of the Alexandrov–Fenchel inequality within a new class of convex bodies	0
Study of the cone of sums of squares plus sums of nonnegative circuit forms	0
Polyhedral combinatorics of bisectors	0
Frontmatter	0
Frontmatter	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
Shellable tilings on relative simplicial complexes and their h-vectors	0
Generalized Shioda–Inose structures of order 3	0
Boomerang uniformity of power permutations and algebraic curves over ????₂ⁿ	0
An isomorphism between unitals and between related classical groups	0
Approximating coarse Ricci curvature on submanifolds of Euclidean space	0
Stein domains in ℂ² with prescribed boundary	0
Fundamental polyhedra of projective elementary groups	0
Convex cones spanned by regular polytopes	0
Cones between the cones of positive semidefinite forms and sums of squares	0
Frontmatter	0
The feet of orthogonal Buekenhout–Metz unitals	0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes	0
New rigidity results for critical metrics of some quadratic curvature functionals	0
Frontmatter	0
Frontmatter	0
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35	0
Frontmatter	0
On some relations between the perimeter, the area and the visual angle of a convex set	0
Two examples of harmonic maps into spheres	0
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties	0
Frontmatter	0
A partial compactification of the Bridgeland stability manifold	0
Bach flow of simply connected nilmanifolds	0