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 2022-05-01 to 2026-05-01.)
ArticleCitations
Computation of Dressians by dimensional reduction7
Anisotropic area-preserving nonlocal flow for closed convex plane curves6
Helmut Salzmann and his legacy4
On projections of free semialgebraic sets3
Tropical Poincaré duality spaces3
Variations on the Weak Bounded Negativity Conjecture3
Hamiltonian isotopies of relatively exact Lagrangians are orientation-preserving3
Frontmatter3
On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces3
Hilton–Milner results in projective and affine spaces3
Kac–Moody symmetric spaces: arbitrary symmetrizable complex or almost split real type2
Poisson Structures on moduli spaces of Higgs bundles over stacky curves2
Rigid-flexible values for embeddings of four-dimensional ellipsoids into almost-cubes2
Ehrhart theory of paving and panhandle matroids2
Quotient spaces of K3 surfaces by non-symplectic involutions fixing a curve of genus 8 or more2
The prime grid contains arbitrarily large empty polygons2
On trialities and their absolute geometries2
Boundary of equisymmetric loci of Riemann surfaces with abelian symmetry2
Uniqueness of maximal inscribed parabolas and minimal circumscribing horocycles2
Locally classical stable planes2
The Bogomolov–Gieseker–Koseki inequality on surfaces with canonical singularities in arbitrary characteristic2
Weierstrass semigroups for maximal curves realizable as Harbater–Katz–Gabber covers2
Fano fourfolds having a prime divisor of Picard number 12
Compact locally homogeneous manifolds with parallel Weyl tensor2
Classification of trees that quasi-inscribe rectangles in the hyperbolic plane2
Ulrich trichotomy on del Pezzo surfaces1
The optimal twisted paper cylinder1
Some observations on conformal symmetries of G 2-structures1
The simultaneous lattice packing-covering constant of octahedra1
Fractional-linear integrals of geodesic flows on surfaces and Nakai’s geodesic 4-webs1
Frontmatter1
The balanced superelliptic mapping class groups are generated by three elements1
Characterizations of symplectic polar spaces1
Special divisors on real trigonal curves1
Continuous CM-regularity and generic vanishing1
Frontmatter1
Universal convex covering problems under translations and discrete rotations1
Cyclotomic function fields over finite fields with irreducible quadratic modulus1
The total absolute curvature of closed curves with singularities1
Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities1
Pseudoholomorphic curves on the LCS-fication of contact manifolds1
Erratum for "Tropical superelliptic curves"1
The partition of PG(2, q 3) arising from an order 3 planar collineation1
New sextics of genus 6 and 10 attaining the Serre bound1
On automorphisms of semistableG-bundles with decorations1
Exploring the interplay of semistable vector bundles and their restrictions on reducible curves1
Exploring tropical differential equations1
The Ehrhart polynomial of a matroid specializes to the β -invariant0
Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 350
PL Morse theory in low dimensions0
Some rigidity results on q-solitons0
A Hilbert metric for bounded symmetric domains0
Frontmatter0
Inequalities for f *-vectors of lattice polytopes0
Combinatorics of stratified hyperbolic slices0
Non-negative polynomials without hyperbolic certificates of non-negativity0
Open books and embeddings of smooth and contact manifolds0
Some remarks on proper actions, proper metric spaces, and buildings0
Lower bound on the translative covering density of octahedra0
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi–Yau varieties0
Frontmatter0
Birational rigidity of quartic three-folds with a double point of rank 30
Desargues’ Theorem in Laguerre Planes0
Chow groups of Gushel–Mukai fivefolds0
On the bond polytope0
Study of the cone of sums of squares plus sums of nonnegative circuit forms0
Generalized Shioda–Inose structures of order 30
Frontmatter0
An Abel–Jacobi theorem for metrized complexes of Riemann surfaces0
Quasimorphisms on nonorientable surface diffeomorphism groups0
Vanishing theorems for Mather–Jacobian multiplier ideals on a Gorenstein projective variety0
Explicit construction of decomposable Jacobians0
Cylinders in smooth del Pezzo surfaces of degree 20
Cohomogeneity one central Kähler metrics in dimension four0
Duality related with key varieties of ℚ-Fano threefolds constructed from projective bundles0
An isomorphism between unitals and between related classical groups0
The geometry of locally bounded rational functions0
Frontmatter0
The geometry of discrete L-algebras0
Frontmatter0
A new axiomatics for masures II0
Abelian branched covers of rational surfaces0
Frontmatter0
A Brill–Noether theorem for (toric) surfaces0
Frontmatter0
Automorphisms and opposition in spherical buildings of classical type0
Split Cayley hexagons via subalgebras of octonion algebras0
Well-rounded lattices from odd prime degree number fields in the ramified case0
Explicit p-harmonic functions on the real Grassmannians0
Frontmatter0
Mean surface and volume particle tensors under L-restricted isotropy and associated ellipsoids0
The Hoffman–Singleton manifold0
Deformations of pairs of codimension one foliations0
A partial compactification of the Bridgeland stability manifold0
Polyhedral combinatorics of bisectors0
Characterization of the sphere and of bodies of revolution by means of Larman points0
On nearly optimal paper Moebius bands0
Frontmatter0
Fundamental polyhedra of projective elementary groups0
Local quasi-isometries and tangent cones of definable germs0
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization0
Convex Fujita numbers are not determined by the fundamental group0
Shellable tilings on relative simplicial complexes and their h-vectors0
Tileable surfaces0
Eigenforms of hyperelliptic curves with many automorphisms0
A Delzant type theorem for torus-equivariantly embedded toric hypersurfaces0
Another proof of Segre’s theorem about ovals0
Projective self-dual polygons in higher dimensions0
A note on polarized varieties with high nef value0
Flocks in topological circle planes and their representation in generalised quadrangles0
A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes0
Crepant transformation correspondence for toric stack bundles0
Frontmatter0
The feet of orthogonal Buekenhout–Metz unitals0
Topology of tropical moduli spaces of weighted stable curves in higher genus0
Bach flow of simply connected nilmanifolds0
Simple obstructions and cone reduction0
On some relations between the perimeter, the area and the visual angle of a convex set0
Lower bound results for conditionally decomposable polytopes0
Betweenness isomorphisms in the plane — the case of a circle and points0
On the generalized Suzuki curve0
Godbersen’s conjecture for locally anti-blocking bodies0
Closed Majorana representations of {3, 4}+-transposition groups0
Compactified symplectic leaves in bundle moduli spaces0
On partially ample Ulrich bundles0
Relative Lipschitz saturation of complex algebraic varieties0
Frontmatter0
Frontmatter0
Rotational cmc surfaces in terms of Jacobi elliptic functions0
Polyhedral compactifications, I0
Deformation cones of Tesler polytopes0
Boomerang uniformity of power permutations and algebraic curves over ????2n0
Arithmetic counts of tropical plane curves and their properties0
Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two0
Decomposition of jacobians of generalized Fermat curves0
Regular parallelisms on PG(3,ℝ) from generalized line stars: the oriented case0
Cones between the cones of positive semidefinite forms and sums of squares0
Extremizers of the Alexandrov–Fenchel inequality within a new class of convex bodies0
Ramification points of homotopies: Enumeration and general theory0
The Malgrange–Galois groupoid of the Painlevé VI equation with parameters0
New rigidity results for critical metrics of some quadratic curvature functionals0
Isometries of wall-connected twin buildings0
Equiangular lines in ℂ30
Lissajous varieties0
Bridgeland stability conditions on surfaces with curves of negative self-intersection0
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