PreprintarXiv licencearXiv
The moduli space of curves of genus 16 is uniruled
Abstract
Using in a novel way non-abelian Brill-Noether theory, we show that the moduli space of curves of genus 16 is uniruled. This is the highest genus for which such a result is known.
Related
- A complete curve of genus 5 in the moduli space of curves of genus 3 and related questions
- The unbearable projectivity of being a good moduli space of Gorenstein curves of genus one with non-colliding markings
- The Weil-Petersson diameter of moduli space for large genus
- Spin structures and measures on the moduli space of curves
- Derived category of moduli of pointed curves: II
BibTeX
@misc{farkas2026moduli,
title = {{The moduli space of curves of genus 16 is uniruled}},
author = {Gavril Farkas and Alessandro Verra},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.12364},
eprint = {2610.12364},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.12364},
}
RIS
TY - UNPB
TI - The moduli space of curves of genus 16 is uniruled
AU - Gavril Farkas
AU - Alessandro Verra
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.12364
UR - https://arxiv.org/abs/2610.12364
AB - Using in a novel way non-abelian Brill-Noether theory, we show that the moduli space of curves of genus 16 is uniruled. This is the highest genus for which such a result is known.
ER -