KP solitons from tropical limits

D Agostini, C Fevola, Y Mandelshtam… - Journal of Symbolic …, 2023 - Elsevier
We study solutions to the Kadomtsev-Petviashvili equation whose underlying algebraic
curves undergo tropical degenerations. Riemann's theta function becomes a finite …

[PDF][PDF] Algebraic curves, Grassmannians, and integrable systems

Y Mandelshtam - 2024 - math.berkeley.edu
In order to study analogs of objects defined for smooth curves, we may think of a nodal curve
as a smooth curve which is defined over a non-archimedean field K such as Q (ϵ) or the …

Computation and Physics in Algebraic Geometry

C Fevola - 2023 - ul.qucosa.de
Abstract (EN) Physics provides new, tantalizing problems that we solve by developing and
implementing innovative and effective geometric tools in nonlinear algebra. The techniques …