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 2021-03-01 to 2025-03-01.)
ArticleCitations
A partial compactification of the Bridgeland stability manifold5
Real hypersurfaces of non-flat complex space forms with two generalized conditions on the Jacobi structure operator5
Tropical Poincaré duality spaces4
Representability of Chow groups of codimension three cycles4
Approximating coarse Ricci curvature on submanifolds of Euclidean space4
Isometries of wall-connected twin buildings3
Ulrich trichotomy on del Pezzo surfaces3
On the geography of line arrangements3
Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities3
Frontmatter3
Pseudoholomorphic curves on the LCS-fication of contact manifolds3
Frontmatter3
Mean surface and volume particle tensors under L-restricted isotropy and associated ellipsoids2
PL Morse theory in low dimensions2
A note on large Kakeya sets2
Frontmatter2
Frontmatter2
Polyhedral compactifications, I2
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties2
Shapes of centrally symmetric octahedra with prescribed cone-deficits2
Helmut Salzmann and his legacy2
On the Jacobian locus in the Prym locus and geodesics2
On projections of free semialgebraic sets2
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 352
Computation of Dressians by dimensional reduction2
How to construct all metric f-K-contact manifolds1
Uniqueness results for bodies of constant width in the hyperbolic plane1
Local quasi-isometries and tangent cones of definable germs1
Frontmatter1
Chow groups of Gushel–Mukai fivefolds1
The curveYn=X(Xm+ 1) over finite fields II1
Variations on the Weak Bounded Negativity Conjecture1
Deformations of pairs of codimension one foliations1
Anisotropic area-preserving nonlocal flow for closed convex plane curves1
Study of the cone of sums of squares plus sums of nonnegative circuit forms1
Hodge numbers of hypersurfaces in ℙ4 with ordinary triple points1
Deformation cones of Tesler polytopes1
Arithmetic counts of tropical plane curves and their properties1
Generalized Shioda–Inose structures of order 31
The total absolute curvature of closed curves with singularities1
Frontmatter1
Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving1
An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space1
Real hypersurfaces in ℂP 2 and ℂH 2 with constant scalar curvature1
On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces1
Double cover K3 surfaces of Hirzebruch surfaces1
Frontmatter1
Characterizations of symplectic polar spaces1
Regular parallelisms on PG(3,ℝ) from generalized line stars: the oriented case1
Compact locally homogeneous manifolds with parallel Weyl tensor1
Symmetries of complex analytic vector fields with an essential singularity on the Riemann sphere1
Quotient spaces of K3 surfaces by non-symplectic involutions fixing a curve of genus 8 or more1
The complexity of orientable graph manifolds1
Characterization of the sphere and of bodies of revolution by means of Larman points1
New sextics of genus 6 and 10 attaining the Serre bound1
The dual cone of sums of non-negative circuit polynomials1
Bridgeland stability conditions on surfaces with curves of negative self-intersection1
Bach flow of simply connected nilmanifolds1
Hilton–Milner results in projective and affine spaces1
Numerical semigroups, polyhedra, and posets II: locating certain families of semigroups0
Abelian branched covers of rational surfaces0
Poisson Structures on moduli spaces of Higgs bundles over stacky curves0
Explicit Nikulin configurations on Kummer surfaces0
On trialities and their absolute geometries0
Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes0
Erratum for "Tropical superelliptic curves"0
On Huisman’s conjectures about unramified real curves0
Fundamental polyhedra of projective elementary groups0
Sharply transitive sets in PGL2(K)0
On the rigidity of harmonic-Ricci solitons0
Stein domains in ℂ2 with prescribed boundary0
Explicit p-harmonic functions on the real Grassmannians0
Complex geodesics in convex domains and ℂ-convexity of semitube domains0
Boomerang uniformity of power permutations and algebraic curves over ????2n0
An extremum problem for the power moment of a convex polygon contained in a disc0
Universal convex covering problems under translations and discrete rotations0
Open books and embeddings of smooth and contact manifolds0
New rigidity results for critical metrics of some quadratic curvature functionals0
Counting isolated points outside the image of a polynomial map0
Locally homogeneous non-gradient quasi-Einstein 3-manifolds0
Cylinders in smooth del Pezzo surfaces of degree 20
Convex cones spanned by regular polytopes0
A new axiomatics for masures II0
When is M 0,n (ℙ1,1) a Mori dream space?0
Positive semigroups in lattices and totally real number fields0
Frontmatter0
Geodesic orbit Finsler spaces with K ≥ 0 and the (FP) condition0
Geometric characterisation of subvarieties of ????6(????) related to the ternions and sextonions0
Harmonic sections of vector bundles with spherically symmetric metrics0
An ????p2-maximal Wiman sextic and its automorphisms0
Exploring tropical differential equations0
Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs0
Continuous CM-regularity and generic vanishing0
An isomorphism between unitals and between related classical groups0
Wall-crossing in genus-zero hybrid theory0
On static manifolds and related critical spaces with cyclic parallel Ricci tensor0
Closed Majorana representations of {3, 4}+-transposition groups0
On automorphisms of semistableG-bundles with decorations0
Extremizers of the Alexandrov–Fenchel inequality within a new class of convex bodies0
Pseudo-algebraic Ricci solitons on Einstein nilradicals0
Einstein tori and crooked surfaces0
Shellable tilings on relative simplicial complexes and their h-vectors0
Some remarks on proper actions, proper metric spaces, and buildings0
Compact null hypersurfaces in Lorentzian manifolds0
The feet of orthogonal Buekenhout–Metz unitals0
Equivariant Ulrich bundles on exceptional homogeneous varieties0
Inscribed rectangle coincidences0
A characterization of centrally symmetric convex bodies in terms of visual cones0
Convex Fujita numbers are not determined by the fundamental group0
Betweenness isomorphisms in the plane — the case of a circle and points0
Frontmatter0
The Beckman–Quarles theorem via the triangle inequality0
Cohomogeneity one central Kähler metrics in dimension four0
The moduli space of tropical curves with fixed Newton polygon0
Frontmatter0
Some observations on conformal symmetries of G 2-structures0
A few more extensions of Putinar’s Positivstellensatz to non-compact sets0
Betti numbers and pseudoeffective cones in 2-Fano varieties0
Tetrahedral cages for unit discs0
Frontmatter0
Projective self-dual polygons in higher dimensions0
????p2-maximal curves with many automorphisms are Galois-covered by the Hermitian curve0
The balanced superelliptic mapping class groups are generated by three elements0
Frontmatter0
Rank one sheaves over quaternion algebras on Enriques surfaces0
On the bond polytope0
Inequalities for f *-vectors of lattice polytopes0
The motivic Igusa zeta function of a space monomial curve with a plane semigroup0
Equiangular lines in ℂ30
Rank-one isometries of CAT(0) cube complexes and their centralisers0
Rational conic fibrations of sectional genus two0
On the Segre invariant for rank two vector bundles on ℙ20
The Malgrange–Galois groupoid of the Painlevé VI equation with parameters0
A note on polarized varieties with high nef value0
Weierstrass semigroups for maximal curves realizable as Harbater–Katz–Gabber covers0
Two examples of harmonic maps into spheres0
Ricci almost solitons with associated projective vector field0
Exotic Steiner chains in Miquelian Möbius planes of odd order0
Frontmatter0
Hyperbolic torsion polynomials of pretzel knots0
The wobbly divisors of the moduli space of rank-2 vector bundles0
Positive Ricci curvature on fiber bundles with compact structure group0
Cones between the cones of positive semidefinite forms and sums of squares0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety0
On some relations between the perimeter, the area and the visual angle of a convex set0
On nilpotent automorphism groups of function fields0
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization0
Towards resolving Keller’s cube tiling conjecture in dimension seven0
Fano fourfolds having a prime divisor of Picard number 10
Frontmatter0
Lifting coarse homotopies0
The geometry of discrete L-algebras0
Lower bound on the translative covering density of octahedra0
Frontmatter0
Duality related with key varieties of ℚ-Fano threefolds constructed from projective bundles0
Semistable Higgs bundles on elliptic surfaces0
On Ricci negative derivations0
Ehrhart theory of paving and panhandle matroids0
The generating rank of a polar Grassmannian0
Topology of tropical moduli spaces of weighted stable curves in higher genus0
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