Proving that a genus 2 curve has complex multiplication
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- by Paul van Wamelen PDF
- Math. Comp. 68 (1999), 1663-1677 Request permission
Abstract:
Recently examples of genus 2 curves defined over the rationals were found which, conjecturally, should have complex multiplication. We prove this conjecture. This involves computing an explicit representation of a rational map defining complex multiplication.References
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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
- Received by editor(s): December 16, 1997
- Published electronically: May 17, 1999
- Additional Notes: This work was partially supported by grant LEQSF(1995-97)-RD-A-09 from the Louisiana Educational Quality Support Fund.
- © Copyright 1999 American Mathematical Society
- Journal: Math. Comp. 68 (1999), 1663-1677
- MSC (1991): Primary 14-04; Secondary 14K22
- DOI: https://doi.org/10.1090/S0025-5718-99-01101-1
- MathSciNet review: 1648415