The $p$-adic CM-method for genus 2

Abstract

We present a nonarchimedian method to construct hyperelliptic CM-curves of genus 2.

24 pages

Cited by in corpus (4)

• Computing Igusa class polynomials
• A CRT algorithm for constructing genus 2 curves over finite fields
• A CM construction for curves of genus 2 with p-rank 1
• Embedding Degree of Hyperelliptic Curves with Complex Multiplication