Obstructions to deforming space curves lying on a complete intersection of quadrics

Hirokazu Nasu

Let $S=S_{2,\dots ,2}\subset {\mathbb{P}}^{n+2}$ be a smooth complete intersection of $n$ quadrics containing a line $E$, where $n\ge 3$, and set $D=(n-1)\mathbf{h}+E$, where $\mathbf…