5 papers · 1 filter
Plane rectifiable curves: old and new
Boris Shapiro, Guillaume Tahar
In this note we recall the classical notion of an algebraically rectifiable plane curve going back to J. A. Serret, E. Laguerre and G. Humbert. We provide new criteria of algebraic…
Complete subvarieties in the projectivized strata of meromorphic differentials
Dawei Chen, Guillaume Tahar
Here we give an explicit construction of a globally defined strictly plurisubharmonic function on projectivized strata of strictly meromorphic differentials with prescribed orders…
Finite isoresidual covers in strata of -differentials
Dawei Chen, Quentin Gendron, Miguel Prado +1
Consider the strata of primitive -differentials on the Riemann sphere whose singularities, except for two, are poles of order divisible by . The map that assigns to each -…
Spectral networks for polynomial cubic differentials
Omar Kidwai, Guillaume Tahar
We study cubic differentials and their spectral networks on Riemann surfaces, focusing on the polynomial case on the Riemann sphere. We introduce the notion of spectral core as the…
Isoresidual curves
Dawei Chen, Quentin Gendron, Miguel Prado +1
Given a partition of , the stratum parametrizes meromorphic differential one-forms on the Riemann sphere with~ zeros and poles of…