English

Period realization of meromorphic differentials with prescribed invariants

Geometric Topology 2025-07-14 v1

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.

Keywords

Cite

@article{arxiv.2212.05754,
  title  = {Period realization of meromorphic differentials with prescribed invariants},
  author = {Dawei Chen and Gianluca Faraco},
  journal= {arXiv preprint arXiv:2212.05754},
  year   = {2025}
}

Comments

84 pages, 51 figures, 5 tables. Comments are welcome