Relative period realization of holomorphic differentials with prescribed invariants
Geometric Topology
2025-03-28 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2503.21316,
title = {Relative period realization of holomorphic differentials with prescribed invariants},
author = {Dawei Chen and Gianluca Faraco},
journal= {arXiv preprint arXiv:2503.21316},
year = {2025}
}
Comments
28 pages, 20 figures