Showing math.GTShow all
2 papers · 1 filter
math.GT2026
The residual map as a stratified fibration over the resonance arrangement
Dawei Chen, Scott Mullane, Nick Salter +1
Given a stratum of meromorphic one-forms on a Riemann surface with prescribed orders of zeros and poles, the residual map assigns to each differential the collecti…
math.GT2025
The translation geometry of Pólya's shires
Rikard Bøgvad, Boris Shapiro, Guillaume Tahar +1
In his shire theorem, G. Pólya proves that the zeros of iterated derivatives of a meromorphic function in the complex plane accumulate on the union of edges of the Voronoi diagram…