Relative period realization of holomorphic differentials with prescribed invariants

Dawei Chen; Gianluca Faraco

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arXiv · 2503.21316

Relative period realization of holomorphic differentials with prescribed invariants

Dawei Chen·Gianluca Faraco

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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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Dawei Chen, Gianluca Faraco. 2025-03-27. Relative period realization of holomorphic differentials with prescribed invariants. https://arxiv.org/abs/2503.21316

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