PreprintarXiv licencearXiv
Uniform Green packing on compact Riemann surfaces
Abstract
We extend the packing results of Etayo, Hedenmalm, and Ortega-Cerda for complex tori to arbitrary compact Riemann surfaces. The construction uses two different approaches, one based on complex geometry of line bundles, and the other on Laplace designs. Both approaches give the same basic existence of close-to-optimal point configurations on the given surface. This version was written with the help of ChatGPT.
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BibTeX
@misc{hedenmalm2026uniform,
title = {{Uniform Green packing on compact Riemann surfaces}},
author = {Haakan Hedenmalm and Song-Yan Xie},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.14990},
eprint = {2610.14990},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.14990},
}
RIS
TY - UNPB
TI - Uniform Green packing on compact Riemann surfaces
AU - Haakan Hedenmalm
AU - Song-Yan Xie
PY - 2026
DA - 2026/10/10
PB - arXiv
DO - 10.48550/arxiv.2610.14990
UR - https://arxiv.org/abs/2610.14990
AB - We extend the packing results of Etayo, Hedenmalm, and Ortega-Cerda for complex tori to arbitrary compact Riemann surfaces. The construction uses two different approaches, one based on complex geometry of line bundles, and the other on Laplace designs. Both approaches give the same basic existence of close-to-optimal point configurations on the given surface. This version was written with the help of ChatGPT.
ER -