# Decomposable Jacobians

**Authors:** Angel Carocca, Herbert Lange, Rub\'i E. Rodr\'iguez

arXiv: 1906.07747 · 2019-06-20

## TL;DR

This paper presents examples of smooth projective curves with Jacobians that are isogenous to a product of many Jacobians, highlighting complex decompositions in algebraic geometry.

## Contribution

It provides explicit examples of curves with highly decomposable Jacobians, expanding understanding of Jacobian structures in algebraic geometry.

## Key findings

- Constructed curves with Jacobians isogenous to large products
- Demonstrated the existence of complex Jacobian decompositions
- Extended known examples of Jacobian decompositions

## Abstract

In this paper we give examples of smooth projective curves whose Jacobians are isogenus to a product of an arbitrarily high number of Jacobians

## Full text

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## References

9 references — full list in the complete paper: https://tomesphere.com/paper/1906.07747/full.md

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Source: https://tomesphere.com/paper/1906.07747