A non-tetragonal curve of genus 8 is a complete intersection
of divisors in either $\mathbf{P}^2 \times \mathbf{P}^2$, a
6-dimensional weighted Grassmannian or the 8-dimensional Grassmannian.
@article{1116443644,
author = {Ide, Manabu and Mukai, Shigeru},
title = {Canonical curves of genus eight},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {79},
number = {3},
year = {2003},
pages = { 59-64},
language = {en},
url = {http://dml.mathdoc.fr/item/1116443644}
}
Ide, Manabu; Mukai, Shigeru. Canonical curves of genus eight. Proc. Japan Acad. Ser. A Math. Sci., Tome 79 (2003) no. 3, pp. 59-64. http://gdmltest.u-ga.fr/item/1116443644/