most recent 30 from http://mathoverflow.net 2013-05-18T10:56:45Z http://mathoverflow.net/feeds/user/17769 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/75283/isogenies-from-hyperelliptic-to-elliptic-curves jfk 2011-09-13T07:34:15Z 2011-09-13T08:40:52Z

<p>Is it always possible to find an isogeny from a hyperelliptic curve of genus 4, to a 'normal' elliptic curve (genus 1), or a product of elliptic curves?</p> <p>Are such isogenies easy to compute? </p> <p>This question is motivated by a particular instance of a discrete logarithm problem. On hyperelliptic curves, computing group law in its jacobian is a slow operation. I'd like to convert the DLP to a group, where it's easier to solve. Any suggestions on different approaches are welcome too.</p>