Geodesic
Optimal curves of genus $3$ over finite field with discriminant $-19$
Prikladnaâ diskretnaâ matematika, no. 12 (2010), pp. 6-7 
E. S. Alekseenko; S. I. Aleshnikov; A. I. Zaytsev. Optimal curves of genus $3$ over finite field with discriminant $-19$. Prikladnaâ diskretnaâ matematika, no. 12 (2010), pp. 6-7. http://geodesic.mathdoc.fr/item/PDM_2010_12_a0/
@article{PDM_2010_12_a0,
     author = {E. S. Alekseenko and S. I. Aleshnikov and A. I. Zaytsev},
     title = {Optimal curves of genus~$3$ over finite field with discriminant~$-19$},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {6--7},
     year = {2010},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2010_12_a0/}
}
TY  - JOUR
AU  - E. S. Alekseenko
AU  - S. I. Aleshnikov
AU  - A. I. Zaytsev
TI  - Optimal curves of genus $3$ over finite field with discriminant $-19$
JO  - Prikladnaâ diskretnaâ matematika
PY  - 2010
SP  - 6
EP  - 7
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/PDM_2010_12_a0/
LA  - ru
ID  - PDM_2010_12_a0
ER  - 
%0 Journal Article
%A E. S. Alekseenko
%A S. I. Aleshnikov
%A A. I. Zaytsev
%T Optimal curves of genus $3$ over finite field with discriminant $-19$
%J Prikladnaâ diskretnaâ matematika
%D 2010
%P 6-7
%N 12
%U http://geodesic.mathdoc.fr/item/PDM_2010_12_a0/
%G ru
%F PDM_2010_12_a0

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper, we obtain the equations for optimal curves of genus 3 defined over a finite field of the discriminant $-19$.

[1] Waterhouse W. C., “Abelian varieties over finite fields”, Ann. Sci. Ecole Norm. Sup., 1969, no. 2, 521–560 | MR | Zbl

[2] Andreotti A., “On a Theorem of Torelli”, American J. of Math., 80:4 (1958), 801–828 | DOI | MR | Zbl