(Uni)rational parametrizations of $\mathcal R_{g,2}$, $\mathcal R_{g,4}$ and $\mathcal R_{g,6}$ in low genera
Algebraic Geometry
2023-10-26 v1
Abstract
The moduli space R_{g,2n} parametrizes double covers of smooth curves of genus g ramified at 2n points. We will prove the (uni)rationality of R_{g,2}, R_{g,4} and R_{g,6} in low genera.
Cite
@article{arxiv.2310.16635,
title = {(Uni)rational parametrizations of $\mathcal R_{g,2}$, $\mathcal R_{g,4}$ and $\mathcal R_{g,6}$ in low genera},
author = {Margherita Lelli-Chiesa and Andreas Leopold Knutsen and Alessandro Verra},
journal= {arXiv preprint arXiv:2310.16635},
year = {2023}
}
Comments
26 pages, comments are very welcome!