低亏格下 $\mathcal R_{g,2}$、$\mathcal R_{g,4}$ 与 $\mathcal R_{g,6}$ 的（单）有理参数化
代数几何
2023-10-26 v1
摘要
模空间 R_{g,2n} 参数化在 2n 个点处分歧的亏格 g 光滑曲线的二重覆盖。我们将证明低亏格下 R_{g,2}、R_{g,4} 与 R_{g,6} 的（单）有理性。
引用
@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}
}
备注
26 pages, comments are very welcome!