Lahoz Vilalta, MartíNaranjo del Val, Juan CarlosRojas, Andrés2023-05-022023-05-022022-04-180025-584Xhttps://hdl.handle.net/2445/197448In the moduli space $\mathcal{R}_{\mathrm{g}}$ of double étale covers of curves of a fixed genus $g$, the locus formed by covers of curves with a semicanonical pencil consists of two irreducible divisors $\mathcal{T}_g{ }^e$ and $\mathcal{T}_g^o$. We study the Prym map on these divisors, which shows significant differences between them and has a rich geometry in the cases of low genus. In particular, the analysis of $\mathcal{T}_5^o$ has enumerative consequences for lines on cubic threefolds.application/pdfengcc by-nc (c) Martí Lahoz et al., 2023http://creativecommons.org/licenses/by-nc/3.0/es/Geometria algebraicaCorbes algebraiquesVarietats abelianesAlgebraic geometryAlgebraic curvesAbelian varietiesinfo:eu-repo/semantics/article7237932023-05-02info:eu-repo/semantics/openAccess