(Uni)rational parametrizations of $\mathcal R_{g,2}$, $\mathcal R_{g,4}$ and $\mathcal R_{g,6}$ in low genera

Autor: Lelli-Chiesa, Margherita, Knutsen, Andreas Leopold, Verra, Alessandro
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 26 pages, comments are very welcome!
Databáze: arXiv