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Title: | Geometry of Prym semicanonical pencils and an application to cubic threefolds |
Author: | Lahoz Vilalta, Martí Naranjo del Val, Juan Carlos Rojas, Andrés |
Keywords: | Geometria algebraica Corbes algebraiques Varietats abelianes Algebraic geometry Algebraic curves Abelian varieties |
Issue Date: | 18-Apr-2022 |
Publisher: | Wiley-VCH |
Abstract: | 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. |
Note: | Reproducció del document publicat a: https://doi.org/10.1002/mana.202100631 |
It is part of: | Mathematische Nachrichten, 2022 |
URI: | http://hdl.handle.net/2445/197448 |
Related resource: | https://doi.org/10.1002/mana.202100631 |
ISSN: | 0025-584X |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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