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
Creative Commons Attribution
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},
      note = {\url{https://eprint.iacr.org/2018/1137}},
      url = {https://eprint.iacr.org/2018/1137}
}
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