Degree even coverings of elliptic curves by genus 2 curves

TL;DR

This paper surveys genus 2 curves with split Jacobians of the form (n, n) for even n, exploring their properties and classifications within algebraic geometry.

Contribution

It provides a comprehensive overview of genus 2 curves with (n, n)-split Jacobians specifically for even n, highlighting their structure and significance.

Findings

Classification of genus 2 curves with (n, n)-split Jacobians for even n

Insights into the geometric properties of these curves

Connections to broader algebraic geometry concepts

Abstract

In this survey we study the genus 2 curves with $(n, n)$-split Jacobian for even $n$.