Proving that a genus 2 curve has complex multiplication
Proving that a genus 2 curve has complex multiplication
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证明 genus 2 曲线具有复数乘法
DOI：
10.1090/s0025-5718-99-01101-1
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
P. V. Wamelen
中科院分区：
文献类型：
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作者：
P. V. Wamelen
最近发现了定义在有理数上的亏格为2的曲线的例子，这些曲线实际上应该具有复数乘法。我们证明了这个猜想。这涉及到计算定义复数乘法的有理映射的显式表示。
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.