The ideal of the $10$-dimensional Spinor variety $S^{10}\subset\mathbb{P}^{15}$ is generated by $10$ quadrics.


Does anyone know a reference where these 10 quadratic equations are written down explicitly in the homogeneous coordinates $[x\_0:\dots:x\_{15}]$ of $\mathbb{P}^{15}$ ?



Ideal of the Spinor variety $S^{10}\subset\mathbb{P}^{15}$
Mukai, [CURVES AND SYMMETRIC SPACES, I](https://www.jstor.org/stable/2375032), (0.1)


