December 2024 FAMILIES OF (3,3)-SPLIT JACOBIANS
Martin Djukanović
Rocky Mountain J. Math. 54(6): 1621-1654 (December 2024). DOI: 10.1216/rmj.2024.54.1621

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.

Citation

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Martin Djukanović. "FAMILIES OF (3,3)-SPLIT JACOBIANS." Rocky Mountain J. Math. 54 (6) 1621 - 1654, December 2024. https://doi.org/10.1216/rmj.2024.54.1621

Information

Received: 17 October 2019; Accepted: 18 April 2023; Published: December 2024
First available in Project Euclid: 4 December 2024

MathSciNet: MR4836017
Digital Object Identifier: 10.1216/rmj.2024.54.1621

Subjects:
Primary: 14H30 , 14H40 , 14H45 , 14H52 , 14K02

Keywords: covering , Elliptic curve , Hesse pencil , hyperelliptic curve , isogeny , Jacobian

Rights: Copyright © 2024 Rocky Mountain Mathematics Consortium

Vol.54 • No. 6 • December 2024
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