Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Poonen's question concerning isogenies
between Smart's genus 2 curves


Author: Paul van Wamelen
Journal: Math. Comp. 69 (2000), 1685-1697
MSC (1991): Primary 14-04; Secondary 14K02
Published electronically: August 18, 1999
MathSciNet review: 1677415
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We describe a method for proving that two explicitly given genus two curves have isogenous jacobians. We apply the method to the list of genus 2 curves with good reduction away from 2 given by Smart. This answers a question of Poonen.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation of the American Mathematical Society with MSC (1991): 14-04, 14K02

Retrieve articles in all journals with MSC (1991): 14-04, 14K02


Additional Information

Paul van Wamelen
Affiliation: Department of Mathematics, University of South Africa, P. O. Box 392, Pretoria, 0003, South Africa
Address at time of publication: Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918
Email: wamelen@math.lsu.edu

DOI: http://dx.doi.org/10.1090/S0025-5718-99-01179-5
PII: S 0025-5718(99)01179-5
Keywords: Isogenies, genus 2 curves, good reduction
Received by editor(s): June 9, 1998
Received by editor(s) in revised form: December 7, 1998
Published electronically: August 18, 1999
Article copyright: © Copyright 2000 American Mathematical Society