2024/01/06 by Марина Ненашева, Nenasheva, Marina
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.2401.03199
openalex publication_date 2024/01/06 · openalex created_date 2024/01/13 · openalex updated_date 2026/07/28
Meromorphic differentials on Riemann surfaces are said to be real-normalized if all their periods are real. Moduli spaces of real-normalized differentials on Riemann surfaces of given genus with prescribed orders of their poles and residues admit stratification by orders of zeroes of the differentials. Subsets of real-normalized differentials with the fixed polarized module of periods compose isoperiodic subspaces, which also admit this stratification. In this work we prove the connectedness of the principal stratum for the isoperiodic subspaces in the space of real-normalized differentials with a single pole of order two when all the periods are incommesurable.