Plane quartics over Q with complex multiplication

Pinar Kilicer, Hugo Labrande, Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling, Marco Streng

OnderzoeksoutputAcademicpeer review

9 Citaten (Scopus)
271 Downloads (Pure)


We give examples of smooth plane quartics over $Q$ with complex multiplication over $\overline{Q}$ by a maximal order with primitive CM type. We describe the required algorithms as we go, these involve the reduction of period matrices, the fast computation of Dixmier-Ohno invariants, and reconstruction from these invariants. Finally, we discuss some of the reduction properties of the curves that we obtain.
Originele taal-2English
Pagina's (van-tot)127-156
Aantal pagina's25
TijdschriftActa Arithmetica
Nummer van het tijdschrift2
StatusPublished - 13-jul.-2018

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