Relative period realization of holomorphic differentials with prescribed invariants

2025/03/27 by Dawei Chen, Gianluca Faraco, Chen, Dawei +1
Mathematics · #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Differential Equations and Boundary Problems #FOS: Mathematics #Geometric Topology (math.GT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2503.21316

openalex publication_date 2025/03/27 · openalex created_date 2025/10/11 · openalex updated_date 2026/07/28

Abstract

We provide a complete description of realizable relative period representations for holomorphic differentials on Riemann surfaces with prescribed orders of zeros and additional invariants given by the hyperelliptic structure and spin parity. This answers a question posed by Simion Filip.

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