3 papers
math.DG2026
Euclidean -systems and real PK arrangements
Martin de Borbon, Dmitri Panov, Alexander P. Veselov
We establish a correspondence between two structures arising in the geometry of hyperplane arrangements: Euclidean -systems and real polyhedral Kähler (PK) arrangements. We p…
math.AG2026
Algebraic topology of the Lagrange inversion
Victor M. Buchstaber, Alexander P. Veselov
The Lagrange inversion formula for power series is one of the classical formulas from analysis and combinatorics. A nice geometric interpretation of this formula in terms of the St…
math.CO2025
Differential algebra of polytopes and inversion formulas
V. M. Buchstaber, A. P. Veselov
We use the differential algebra of polytopes to explain the known remarkable relation of the combinatorics of the associahedra and permutohedra with the universal compositional and…