3 papers
nlin.SI2026
Combinatorial geometry of the 2D Toda lattice and Davey Stewartson equation
Rodrigo Navarro Betancourt, Marvin Anas Hahn, Vera Posch +1
The KP equation is a prototypical -dimensional integrable PDE. Its soliton solutions are famously parametrized by the Sato Grassmannian. In seminal work, Kodama and Williams…
math.AG2026
On the piecewise quasipolynomiality of double tropical Welschinger invariants
Vincenzo Reda
Ardila and Brugallé conjectured that double tropical Welschinger invariants of Hirzebruch surfaces are piecewise quasipolynomial. In this work, we prove the conjecture holds in fu…
math.AG2025
Universal piecewise polynomiality for counting curves in toric surfaces
Marvin Anas Hahn, Vincenzo Reda
Inspired by piecewise polynomiality results of double Hurwitz numbers, Ardila and Brugallé introduced an enumerative problem which they call double Gromov--Witten invariants of Hi…