The moduli space Rg,2n parametrizes double covers of smooth curves of genus g ramified at 2n points. We will prove the (uni)rationality of Rg,2, Rg,4and Rg,6in low genera. Resume (Paramétrisations (uni)rationelles de Rg,2, Rg,4et Rg,6en petits genres) L'espace de modules Rg,2n paramétrise les revêtements doubles de courbes lisses de genre g ramifiés en 2n points. Nous montrons la (uni)rationalité de Rg,2, Rg,4et Rg,6en petits genres.
Knutsen, A.L., Lelli Chiesa, M., Verra, A. (2024). (UNI)RATIONAL PARAMETRIZATIONS OF Rg,2, Rg,4AND Rg,6IN LOW GENERA. JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES, 11, 1411-1440 [10.5802/jep.280].
(UNI)RATIONAL PARAMETRIZATIONS OF Rg,2, Rg,4AND Rg,6IN LOW GENERA
Knutsen A. L.;Lelli Chiesa M.;Verra A.
2024-01-01
Abstract
The moduli space Rg,2n parametrizes double covers of smooth curves of genus g ramified at 2n points. We will prove the (uni)rationality of Rg,2, Rg,4and Rg,6in low genera. Resume (Paramétrisations (uni)rationelles de Rg,2, Rg,4et Rg,6en petits genres) L'espace de modules Rg,2n paramétrise les revêtements doubles de courbes lisses de genre g ramifiés en 2n points. Nous montrons la (uni)rationalité de Rg,2, Rg,4et Rg,6en petits genres.| File | Dimensione | Formato | |
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