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 2021-08-01 to 2025-08-01.)

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

Ulrich trichotomy on del Pezzo surfaces	1
Continuous CM-regularity and generic vanishing	1
Some observations on conformal symmetries of G ₂-structures	1
The partition of PG(2, q ³) arising from an order 3 planar collineation	1
New sextics of genus 6 and 10 attaining the Serre bound	1
Exploring the interplay of semistable vector bundles and their restrictions on reducible curves	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
Frontmatter	1
Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities	1
On the rigidity of harmonic-Ricci solitons	1
Poisson Structures on moduli spaces of Higgs bundles over stacky curves	1
An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space	1
Exploring tropical differential equations	1
Ricci almost solitons with associated projective vector field	1
Universal convex covering problems under translations and discrete rotations	1
The complexity of orientable graph manifolds	1
Characterizations of symplectic polar spaces	1
Pseudoholomorphic curves on the LCS-fication of contact manifolds	1
Erratum for "Tropical superelliptic curves"	1
Real hypersurfaces in ℂP ² and ℂH ² with constant scalar curvature	0
Generalized Shioda–Inose structures of order 3	0
PL Morse theory in low dimensions	0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety	0
Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two	0
Local quasi-isometries and tangent cones of definable germs	0
Towards resolving Keller’s cube tiling conjecture in dimension seven	0
Cones between the cones of positive semidefinite forms and sums of squares	0
Abelian branched covers of rational surfaces	0
Equiangular lines in ℂ³	0
New rigidity results for critical metrics of some quadratic curvature functionals	0
The Malgrange–Galois groupoid of the Painlevé VI equation with parameters	0
Inequalities for f ^*-vectors of lattice polytopes	0
Stein domains in ℂ² with prescribed boundary	0
The geometry of locally bounded rational functions	0
A characterization of centrally symmetric convex bodies in terms of visual cones	0
Positive Ricci curvature on fiber bundles with compact structure group	0
Frontmatter	0
Desargues’ Theorem in Laguerre Planes	0
Harmonic sections of vector bundles with spherically symmetric metrics	0
On the Jacobian locus in the Prym locus and geodesics	0
Frontmatter	0
A Hilbert metric for bounded symmetric domains	0
Positive semigroups in lattices and totally real number fields	0
Well-rounded lattices from odd prime degree number fields in the ramified case	0
On some relations between the perimeter, the area and the visual angle of a convex set	0
An isomorphism between unitals and between related classical groups	0
Closed Majorana representations of {3, 4}⁺-transposition groups	0
Split Cayley hexagons via subalgebras of octonion algebras	0
Explicit Nikulin configurations on Kummer surfaces	0

An extremum problem for the power moment of a convex polygon contained in a disc	0
Frontmatter	0
Combinatorics of stratified hyperbolic slices	0
Deformations of pairs of codimension one foliations	0
On the bond polytope	0
An ????_p²-maximal Wiman sextic and its automorphisms	0
Polyhedral compactifications, I	0
Convex Fujita numbers are not determined by the fundamental group	0
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization	0
Arithmetic counts of tropical plane curves and their properties	0
Approximating coarse Ricci curvature on submanifolds of Euclidean space	0
Cylinders in smooth del Pezzo surfaces of degree 2	0
Shellable tilings on relative simplicial complexes and their h-vectors	0
The geometry of discrete L-algebras	0
On the generalized Suzuki curve	0
On Huisman’s conjectures about unramified real curves	0
Godbersen’s conjecture for locally anti-blocking bodies	0
Cohomogeneity one central Kähler metrics in dimension four	0
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties	0
Another proof of Segre’s theorem about ovals	0
A new axiomatics for masures II	0
Mean surface and volume particle tensors under L-restricted isotropy and associated ellipsoids	0
Bach flow of simply connected nilmanifolds	0
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35	0
The feet of orthogonal Buekenhout–Metz unitals	0
Some rigidity results on q-solitons	0
Simple obstructions and cone reduction	0
On Ricci negative derivations	0
Frontmatter	0
Betweenness isomorphisms in the plane — the case of a circle and points	0
Some remarks on proper actions, proper metric spaces, and buildings	0
On nearly optimal paper Moebius bands	0
Frontmatter	0
Open books and embeddings of smooth and contact manifolds	0
Explicit p-harmonic functions on the real Grassmannians	0
Isometries of wall-connected twin buildings	0
Characterization of the sphere and of bodies of revolution by means of Larman points	0
Chow groups of Gushel–Mukai fivefolds	0
Boomerang uniformity of power permutations and algebraic curves over ????₂ⁿ	0
Deformation cones of Tesler polytopes	0
Frontmatter	0
Fundamental polyhedra of projective elementary groups	0
Quasimorphisms on nonorientable surface diffeomorphism groups	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
Projective self-dual polygons in higher dimensions	0
Explicit construction of decomposable Jacobians	0
Frontmatter	0
Extremizers of the Alexandrov–Fenchel inequality within a new class of convex bodies	0
Locally homogeneous non-gradient quasi-Einstein 3-manifolds	0
An Abel–Jacobi theorem for metrized complexes of Riemann surfaces	0
Two examples of harmonic maps into spheres	0
Frontmatter	0
Relative Lipschitz saturation of complex algebraic varieties	0
Convex cones spanned by regular polytopes	0
A partial compactification of the Bridgeland stability manifold	0
A note on polarized varieties with high nef value	0
Frontmatter	0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes	0
Frontmatter	0
A few more extensions of Putinar’s Positivstellensatz to non-compact sets	0
Geometric characterisation of subvarieties of ????₆(????) related to the ternions and sextonions	0
Topology of tropical moduli spaces of weighted stable curves in higher genus	0
Frontmatter	0
Frontmatter	0
Polyhedral combinatorics of bisectors	0
Lower bound on the translative covering density of octahedra	0
Frontmatter	0
Study of the cone of sums of squares plus sums of nonnegative circuit forms	0
Bridgeland stability conditions on surfaces with curves of negative self-intersection	0