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Proving that a genus 2 curve has complex multiplication |
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| Authors: | Paul van Wamelen. |
| Affiliation: | Department of Mathematics, University of South Africa, P. O. Box 392, Pretoria, 0003, South Africa |
| 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. |
| Keywords: | CM-curves complex multiplication genus 2 curves |
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