Primes dividing invariants of CM Picard curves

Abstract : 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.
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Contributor : Elisa Lorenzo García <>
Submitted on : Tuesday, January 16, 2018 - 8:27:38 AM
Last modification on : Friday, April 19, 2019 - 4:55:17 PM

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  • HAL Id : hal-01685037, version 1
  • ARXIV : 1801.04682


Elisa Lorenzo García, Pınar Kılıçer, Marco Streng. Primes dividing invariants of CM Picard curves. 2018. ⟨hal-01685037⟩



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