Abstract

AbstractIfCis a curve of genus 2 defined over a fieldkandJis its Jacobian, then we can associate a hypersurfaceKin3toJ, called the Kummer surface ofJ. Flynn has made this construction explicit in the case when the characteristic ofkis not 2 andCis given by a simplified equation. He has also given explicit versions of several maps defined on the Kummer surface and shown how to perform arithmetic onJusing these maps. In this paper we generalize these results to the case of arbitrary characteristic.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.