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Article Dans Une Revue Canadian Journal of Mathematics Année : 2020

Primes dividing invariants of CM Picard curves

Résumé

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.

Dates et versions

hal-01685037 , version 1 (16-01-2018)

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Elisa Lorenzo García, Pinar Kiliçer, Marco Streng. Primes dividing invariants of CM Picard curves. Canadian Journal of Mathematics, 2020, 72 (2), pp.480-504. ⟨10.4153/S0008414X18000111⟩. ⟨hal-01685037⟩
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