## Cryptology ePrint Archive: Report 2018/1137

Genus 2 curves with given split Jacobian

Jasper Scholten

Abstract: We construct a genus 2 curve inside the product of 2 elliptic curves. The formula for this construction has appeared in a previous paper. The current paper discusses how this formula arises naturally by using some theory of elliptic Kummer surfaces

Category / Keywords: foundations /

Original Publication (with minor differences): https://www.researchgate.net/publication/329059376_Genus_2_curves_with_given_split_Jacobian
DOI:
10.13140/RG.2.2.33534.43849