Period realization of meromorphic differentials with prescribed invariants
Dawei Chen, Gianluca Faraco
TL;DR
This paper characterizes which period representations can be realized by meromorphic differentials on Riemann surfaces with specific zero/pole configurations, hyperelliptic structure, and spin parity.
Contribution
It offers a comprehensive classification of realizable period representations for meromorphic differentials with given invariants.
Findings
Complete description of realizable period representations
Conditions for existence based on prescribed invariants
Application to hyperelliptic and spin structures
Abstract
We provide a complete description of realizable period representations for meromorphic differentials on Riemann surfaces with prescribed orders of zeros and poles, hyperelliptic structure, and spin parity.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Advanced Differential Equations and Dynamical Systems