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 2022-05-01 to 2026-05-01.)

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

Ulrich trichotomy on del Pezzo surfaces	1
The optimal twisted paper cylinder	1
Some observations on conformal symmetries of G ₂-structures	1
The simultaneous lattice packing-covering constant of octahedra	1
Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs	1
Frontmatter	1
The balanced superelliptic mapping class groups are generated by three elements	1
Characterizations of symplectic polar spaces	1
Special divisors on real trigonal curves	1
Continuous CM-regularity and generic vanishing	1
Frontmatter	1
Universal convex covering problems under translations and discrete rotations	1
Cyclotomic function fields over finite fields with irreducible quadratic modulus	1
The total absolute curvature of closed curves with singularities	1
Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities	1
Pseudoholomorphic curves on the LCS-fication of contact manifolds	1
Erratum for "Tropical superelliptic curves"	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
On automorphisms of semistableG-bundles with decorations	1
Exploring the interplay of semistable vector bundles and their restrictions on reducible curves	1
Exploring tropical differential equations	1
New rigidity results for critical metrics of some quadratic curvature functionals	0
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35	0
Ramification points of homotopies: Enumeration and general theory	0
Some rigidity results on q-solitons	0
Bridgeland stability conditions on surfaces with curves of negative self-intersection	0
Equiangular lines in ℂ³	0
Frontmatter	0
The Ehrhart polynomial of a matroid specializes to the β -invariant	0
Combinatorics of stratified hyperbolic slices	0
PL Morse theory in low dimensions	0
Inequalities for f ^*-vectors of lattice polytopes	0
Open books and embeddings of smooth and contact manifolds	0
A Hilbert metric for bounded symmetric domains	0
Non-negative polynomials without hyperbolic certificates of non-negativity	0
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties	0
Some remarks on proper actions, proper metric spaces, and buildings	0
Desargues’ Theorem in Laguerre Planes	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
Birational rigidity of quartic three-folds with a double point of rank 3	0
Chow groups of Gushel–Mukai fivefolds	0
An Abel–Jacobi theorem for metrized complexes of Riemann surfaces	0
On the bond polytope	0
Generalized Shioda–Inose structures of order 3	0
Explicit construction of decomposable Jacobians	0
Cohomogeneity one central Kähler metrics in dimension four	0
Quasimorphisms on nonorientable surface diffeomorphism groups	0

An isomorphism between unitals and between related classical groups	0
Frontmatter	0
Cylinders in smooth del Pezzo surfaces of degree 2	0
Frontmatter	0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety	0
Frontmatter	0
The geometry of locally bounded rational functions	0
Abelian branched covers of rational surfaces	0
Duality related with key varieties of ℚ-Fano threefolds constructed from projective bundles	0
A Brill–Noether theorem for (toric) surfaces	0
A new axiomatics for masures II	0
The geometry of discrete L-algebras	0
Split Cayley hexagons via subalgebras of octonion algebras	0
Frontmatter	0
Explicit p-harmonic functions on the real Grassmannians	0
Frontmatter	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
Automorphisms and opposition in spherical buildings of classical type	0
Frontmatter	0
A partial compactification of the Bridgeland stability manifold	0
The Hoffman–Singleton manifold	0
On nearly optimal paper Moebius bands	0
Deformations of pairs of codimension one foliations	0
Polyhedral combinatorics of bisectors	0
Local quasi-isometries and tangent cones of definable germs	0
Characterization of the sphere and of bodies of revolution by means of Larman points	0
Frontmatter	0
Shellable tilings on relative simplicial complexes and their h-vectors	0
Eigenforms of hyperelliptic curves with many automorphisms	0
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization	0
Another proof of Segre’s theorem about ovals	0
Fundamental polyhedra of projective elementary groups	0
Tileable surfaces	0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes	0
Convex Fujita numbers are not determined by the fundamental group	0
A note on polarized varieties with high nef value	0
Projective self-dual polygons in higher dimensions	0
Topology of tropical moduli spaces of weighted stable curves in higher genus	0
A Delzant type theorem for torus-equivariantly embedded toric hypersurfaces	0
Frontmatter	0
Crepant transformation correspondence for toric stack bundles	0
Flocks in topological circle planes and their representation in generalised quadrangles	0
On some relations between the perimeter, the area and the visual angle of a convex set	0
Bach flow of simply connected nilmanifolds	0
The feet of orthogonal Buekenhout–Metz unitals	0
Betweenness isomorphisms in the plane — the case of a circle and points	0
Lower bound results for conditionally decomposable polytopes	0
Godbersen’s conjecture for locally anti-blocking bodies	0
Simple obstructions and cone reduction	0
On the generalized Suzuki curve	0
Compactified symplectic leaves in bundle moduli spaces	0
Closed Majorana representations of {3, 4}⁺-transposition groups	0
Frontmatter	0
On partially ample Ulrich bundles	0
Polyhedral compactifications, I	0
Relative Lipschitz saturation of complex algebraic varieties	0
Frontmatter	0
Arithmetic counts of tropical plane curves and their properties	0
Rotational cmc surfaces in terms of Jacobi elliptic functions	0
Deformation cones of Tesler polytopes	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
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
Boomerang uniformity of power permutations and algebraic curves over ????₂ⁿ	0
Cones between the cones of positive semidefinite forms and sums of squares	0
Lissajous varieties	0
Decomposition of jacobians of generalized Fermat curves	0
Isometries of wall-connected twin buildings	0