Primes Dividing Invariants of CM Picard Curves

Pınar Kılıçer, Elisa Lorenzo García, Marco Streng

OnderzoeksoutputAcademicpeer review

4 Citaten (Scopus)
30 Downloads (Pure)


We give a bound on the primes dividing the denominators of invariants of Picard curves of genus 3 with complex multiplication. Unlike earlier bounds in genus 2 and 3, our bound is based not on bad reduction of curves, but on a very explicit type of good reduction. This approach simultaneously yields a simplification of the proof, and much sharper bounds. In fact, unlike all previous bounds for genus 3, our bound is sharp enough for use in explicit constructions of Picard curves.
Originele taal-2English
Pagina's (van-tot)480-504
Aantal pagina's25
TijdschriftCanadian journal of mathematics-Journal canadien de mathematiques
Nummer van het tijdschrift2
Vroegere onlinedatum15-nov.-2018
StatusPublished - apr.-2020

Citeer dit