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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/197448
Geometry of Prym semicanonical pencils and an application to cubic threefolds
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In 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.
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LAHOZ VILALTA, Martí, NARANJO DEL VAL, Juan Carlos and ROJAS, Andrés. Geometry of Prym semicanonical pencils and an application to cubic threefolds. Mathematische Nachrichten. 2023. ISSN 0025-584X. [consulted: 7 of June of 2026]. Available at: https://hdl.handle.net/2445/197448