Advances in Geometry

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 2021-07-01 to 2025-07-01.)
ArticleCitations
Computation of Dressians by dimensional reduction10
Hilton–Milner results in projective and affine spaces5
Tropical Poincaré duality spaces5
A note on large Kakeya sets5
On projections of free semialgebraic sets4
Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving4
Helmut Salzmann and his legacy4
Frontmatter4
Anisotropic area-preserving nonlocal flow for closed convex plane curves4
Quotient spaces of K3 surfaces by non-symplectic involutions fixing a curve of genus 8 or more3
Symmetries of complex analytic vector fields with an essential singularity on the Riemann sphere3
Variations on the Weak Bounded Negativity Conjecture3
On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces3
Compact locally homogeneous manifolds with parallel Weyl tensor2
The Bogomolov–Gieseker–Koseki inequality on surfaces with canonical singularities in arbitrary characteristic2
Poisson Structures on moduli spaces of Higgs bundles over stacky curves2
Ehrhart theory of paving and panhandle matroids2
Semistable Higgs bundles on elliptic surfaces2
Fano fourfolds having a prime divisor of Picard number 12
On trialities and their absolute geometries2
Weierstrass semigroups for maximal curves realizable as Harbater–Katz–Gabber covers2
The generating rank of a polar Grassmannian1
Universal convex covering problems under translations and discrete rotations1
The total absolute curvature of closed curves with singularities1
The simultaneous lattice packing-covering constant of octahedra1
Some observations on conformal symmetries of G 2-structures1
On the rigidity of harmonic-Ricci solitons1
The balanced superelliptic mapping class groups are generated by three elements1
Explicit Nikulin configurations on Kummer surfaces1
Chow groups of Gushel–Mukai fivefolds1
Numerical semigroups, polyhedra, and posets II: locating certain families of semigroups1
Polyhedral combinatorics of bisectors1
Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs1
Exploring tropical differential equations1
The moduli space of tropical curves with fixed Newton polygon1
The complexity of orientable graph manifolds1
Frontmatter1
Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities1
Erratum for "Tropical superelliptic curves"1
Ulrich trichotomy on del Pezzo surfaces1
On automorphisms of semistableG-bundles with decorations1
Frontmatter1
Ricci almost solitons with associated projective vector field1
Frontmatter1
Counting isolated points outside the image of a polynomial map1
New sextics of genus 6 and 10 attaining the Serre bound1
Closed Majorana representations of {3, 4}+-transposition groups1
An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space1
Characterizations of symplectic polar spaces1
Pseudoholomorphic curves on the LCS-fication of contact manifolds1
Continuous CM-regularity and generic vanishing1
Exploring the interplay of semistable vector bundles and their restrictions on reducible curves1
Generalized Shioda–Inose structures of order 31
Frontmatter1
Some remarks on proper actions, proper metric spaces, and buildings1
Rank one sheaves over quaternion algebras on Enriques surfaces0
On Ricci negative derivations0
The geometry of discrete L-algebras0
Deformations of pairs of codimension one foliations0
Another proof of Segre’s theorem about ovals0
Tetrahedral cages for unit discs0
Some rigidity results on q-solitons0
A new axiomatics for masures II0
On some relations between the perimeter, the area and the visual angle of a convex set0
Bridgeland stability conditions on surfaces with curves of negative self-intersection0
On the Jacobian locus in the Prym locus and geodesics0
Lower bound on the translative covering density of octahedra0
Frontmatter0
Inequalities for f *-vectors of lattice polytopes0
Frontmatter0
Extremizers of the Alexandrov–Fenchel inequality within a new class of convex bodies0
Characterization of the sphere and of bodies of revolution by means of Larman points0
Isometries of wall-connected twin buildings0
Frontmatter0
Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two0
Regular parallelisms on PG(3,ℝ) from generalized line stars: the oriented case0
Open books and embeddings of smooth and contact manifolds0
Quasimorphisms on nonorientable surface diffeomorphism groups0
Shellable tilings on relative simplicial complexes and their h-vectors0
Cylinders in smooth del Pezzo surfaces of degree 20
On Huisman’s conjectures about unramified real curves0
Boomerang uniformity of power permutations and algebraic curves over ????2n0
Locally homogeneous non-gradient quasi-Einstein 3-manifolds0
An Abel–Jacobi theorem for metrized complexes of Riemann surfaces0
Fundamental polyhedra of projective elementary groups0
On the Segre invariant for rank two vector bundles on ℙ20
Positive semigroups in lattices and totally real number fields0
The feet of orthogonal Buekenhout–Metz unitals0
Inscribed rectangle coincidences0
Topology of tropical moduli spaces of weighted stable curves in higher genus0
Rank-one isometries of CAT(0) cube complexes and their centralisers0
The motivic Igusa zeta function of a space monomial curve with a plane semigroup0
Sharply transitive sets in PGL2(K)0
New rigidity results for critical metrics of some quadratic curvature functionals0
Positive Ricci curvature on fiber bundles with compact structure group0
Betweenness isomorphisms in the plane — the case of a circle and points0
Frontmatter0
Frontmatter0
An extremum problem for the power moment of a convex polygon contained in a disc0
Simple obstructions and cone reduction0
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties0
Study of the cone of sums of squares plus sums of nonnegative circuit forms0
Cohomogeneity one central Kähler metrics in dimension four0
Deformation cones of Tesler polytopes0
Local quasi-isometries and tangent cones of definable germs0
A note on polarized varieties with high nef value0
The wobbly divisors of the moduli space of rank-2 vector bundles0
PL Morse theory in low dimensions0
On nilpotent automorphism groups of function fields0
Explicit construction of decomposable Jacobians0
Real hypersurfaces in ℂP 2 and ℂH 2 with constant scalar curvature0
An isomorphism between unitals and between related classical groups0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety0
Frontmatter0
Convex cones spanned by regular polytopes0
Towards resolving Keller’s cube tiling conjecture in dimension seven0
An ????p2-maximal Wiman sextic and its automorphisms0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes0
Equiangular lines in ℂ30
Approximating coarse Ricci curvature on submanifolds of Euclidean space0
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 350
Frontmatter0
Two examples of harmonic maps into spheres0
A few more extensions of Putinar’s Positivstellensatz to non-compact sets0
On nearly optimal paper Moebius bands0
A partial compactification of the Bridgeland stability manifold0
Frontmatter0
Bach flow of simply connected nilmanifolds0
Polyhedral compactifications, I0
Desargues’ Theorem in Laguerre Planes0
Geometric characterisation of subvarieties of ????6(????) related to the ternions and sextonions0
On the bond polytope0
Stein domains in ℂ2 with prescribed boundary0
Frontmatter0
How to construct all metric f-K-contact manifolds0
Arithmetic counts of tropical plane curves and their properties0
Mean surface and volume particle tensors under L-restricted isotropy and associated ellipsoids0
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization0
Abelian branched covers of rational surfaces0
Cones between the cones of positive semidefinite forms and sums of squares0
The Malgrange–Galois groupoid of the Painlevé VI equation with parameters0
Explicit p-harmonic functions on the real Grassmannians0
Projective self-dual polygons in higher dimensions0
A characterization of centrally symmetric convex bodies in terms of visual cones0
Convex Fujita numbers are not determined by the fundamental group0
Frontmatter0
Harmonic sections of vector bundles with spherically symmetric metrics0
Duality related with key varieties of ℚ-Fano threefolds constructed from projective bundles0
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