On the Prym variety of genus 3 covers of genus 1 curves

zbMath1471.14068arXiv1612.07033MaRDI QIDQ4611633

Christophe Ritzenthaler, Matthieu Romagny

Publication date: 21 January 2019

Full work available at URL: https://arxiv.org/abs/1612.07033

zbMATH Keywords

Prym varietyplane quarticsgenus 3 curvessingular covers

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Jacobians, Prym varieties (14H40) Computational aspects of algebraic curves (14Q05) Isogeny (14K02)

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Decomposing Jacobians Via Galois covers ⋮ Rigorous computation of the endomorphism ring of a Jacobian ⋮ Primes Dividing Invariants of CM Picard Curves ⋮ Constructing Jacobian varieties with many elliptic curves ⋮ Gluing curves of genus 1 and 2 along their 2-torsion

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