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math.AG2023
(Uni)rational parametrizations of , and in low genera
Margherita Lelli-Chiesa, Andreas Leopold Knutsen, Alessandro Verra
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 ge…
math.AG2023
The uniruledness of the Prym moduli space of genus 9
Gavril Farkas, Alessandro Verra
We show that the moduli space R_9 of Prym curves of genus 9 is uniruled. This is the largest genus g for which R_g has negative Kodaira dimension.
math.AG2023
On deformations of the surfaces of bitangents to smooth quartic surfaces in $\mP^3$
Ciro Ciliberto, Alessandro Verra, Francesco Zucconi
We prove that the surface of bitangent lines of a general smooth quartic surface in $\mP^3$ has unobstructed deformations of dimension . In addit…