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PRIMES DIVIDING INVARIANTS OF CM PICARD CURVES
Canadian Journal of Mathematics ( IF 0.6 ) Pub Date : 2019-05-07 , DOI: 10.4153/s0008414x18000111
Pınar Kılıçer , Elisa Lorenzo García , Marco Streng

We give a bound on the primes dividing the denominators of invariants of Picard curves of genus 3 with complex multiplication. Our proof is simpler than the previous proofs for genus 2 and 3 and, unlike previous bounds for genus 3, our bounds are sharp enough for use in class polynomial computation.

中文翻译:

CM PICARD 曲线不变量的质数除法

我们给出了用复数乘法除属 3 的 Picard 曲线的不变量的分母的素数的界限。我们的证明比之前的第 2 类和第 3 类的证明更简单,并且与之前的第 3 类边界不同,我们的边界足够清晰,可以用于类多项式计算。
更新日期:2019-05-07
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