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- W3182292455 abstract "Let ϕ:X→Y be a (possibly ramified) cover, with X and Y of strictly positive genus. We develop tools to identify the Prym variety of ϕ, up to isogeny, as the Jacobian of a quotient curve C of the Galois closure of a composition X→Y→P 1 of ϕ with a well-chosen map Y→P 1 that identifies branch points of ϕ. To our knowledge, this method recovers all previously obtained descriptions of Prym varieties as Jacobians. It also finds new decompositions, and for some of these, including one where X has genus 3, Y has genus 1 and ϕ is a degree 3 map totally ramified over 2 points, we find an algebraic equation of the curve C." @default.
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- W3182292455 date "2021-07-09" @default.
- W3182292455 modified "2023-10-02" @default.
- W3182292455 title "Decomposing Jacobians Via Galois covers" @default.
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- W3182292455 doi "https://doi.org/10.1080/10586458.2021.1926008" @default.
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