Primes dividing invariants of CM Picard curves
Lorenzo García, Elisa ; Kılıçer, Pınar ; Streng, Marco
HAL, hal-01685037 / Harvested from HAL
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.
Publié le : 2018-01-16
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT],  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
@article{hal-01685037,
     author = {Lorenzo Garc\'\i a, Elisa and K\i l\i \c cer, P\i nar and Streng, Marco},
     title = {Primes dividing invariants of CM Picard curves},
     journal = {HAL},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01685037}
}
Lorenzo García, Elisa; Kılıçer, Pınar; Streng, Marco. Primes dividing invariants of CM Picard curves. HAL, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/hal-01685037/