Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Hedenmalm, Haakan, Xie, Song-Yan
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G6444257319, G6836815800
OpenAlex ID: W7221789406