Tschirnhaus-Weierstrass curves
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- by Josef Schicho and David Sevilla PDF
- Math. Comp. 83 (2014), 3005-3015 Request permission
Abstract:
We define the concept of Tschirnhaus-Weierstrass curve, named after the Weierstrass form of an elliptic curve and Tschirnhaus transformations. Every pointed curve has a Tschirnhaus-Weierstrass form, and this representation is unique up to a scaling of variables. This is useful for computing isomorphisms between curves.References
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Additional Information
- Josef Schicho
- Affiliation: Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstrasse 69, A-4040 Linz, Austria
- MR Author ID: 332588
- Email: josef.schicho@oeaw.ac.at
- David Sevilla
- Affiliation: Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstrasse 69, A-4040 Linz, Austria
- Address at time of publication: Univ. de Extremadura, C. U. de Mérida, Av. Santa Teresa de Jornet 38, E-06800 Mérida (Badajoz), Spain
- MR Author ID: 700228
- Email: sevillad@unex.es
- Received by editor(s): October 17, 2008
- Received by editor(s) in revised form: February 9, 2013
- Published electronically: January 30, 2014
- Additional Notes: The first author was partially supported by the FWF (Austrian Science Fund) in the frame of project 18992.
The second author was partially supported by the Spanish MEC project MTM2007-67088 and the FWF project P22766-N18. - © Copyright 2014 American Mathematical Society
- Journal: Math. Comp. 83 (2014), 3005-3015
- MSC (2010): Primary 14H99; Secondary 14Q05, 68W30
- DOI: https://doi.org/10.1090/S0025-5718-2014-02801-9
- MathSciNet review: 3246821