Genus 2 curves with given split Jacobian

Jasper Scholten

Paper 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

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Published elsewhere. Minor revision. https://www.researchgate.net/publication/329059376_Genus_2_curves_with_given_split_Jacobian
DOI: 10.13140/RG.2.2.33534.43849
Contact author(s): jasper scholten @ gmail com
History: 2018-11-29: received
Short URL: https://ia.cr/2018/1137
License: CC BY

BibTeX

@misc{cryptoeprint:2018/1137,
      author = {Jasper Scholten},
      title = {Genus 2 curves with given split Jacobian},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/1137},
      year = {2018},
      doi = {10.13140/RG.2.2.33534.43849},
      url = {https://eprint.iacr.org/2018/1137}
}