FAMILIES OF (3,3)-SPLIT JACOBIANS

We analyze curves of genus two that admit a morphism of degree three to an elliptic curve and we give formulas for the Igusa–Clebsch invariants and for plane models of curves of genus two whose Jacobians are (3,3)-isogenous to the product of two given elliptic curves in the Hesse pencil.

Authors

Publication Details

Journal
Rocky Mountain Journal of Mathematics
Published
2024-12-01
DOI
https://doi.org/10.1216/rmj.2024.54.1621
Citations
1
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
1.01
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article

FAMILIES OF (3,3)-SPLIT JACOBIANS

Martin Djukanović
1 citations
Rocky Mountain Journal of Mathematics
Advanced Differential Equations and Dynamical Systems
1.01
article

FAMILIES OF (3,3)-SPLIT JACOBIANS

Martin Djukanović
article en
1 citations

Abstract

We analyze curves of genus two that admit a morphism of degree three to an elliptic curve and we give formulas for the Igusa–Clebsch invariants and for plane models of curves of genus two whose Jacobians are (3,3)-isogenous to the product of two given elliptic curves in the Hesse pencil.

Rocky Mountain Journal of MathematicsVol. 54(6)
Openalex Percentile: Top 21%
Advanced Differential Equations and Dynamical Systems
1.01
DOISourceOpenAlex
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FAMILIES OF (3,3)-SPLIT JACOBIANS — Martin Djukanović · Rocky Mountain Journal of Mathematics (2024) | TGRS Research Map | TGRS