Skip to main content

All Questions

Filter by
Sorted by
Tagged with
2 votes
1 answer
805 views

Tangent bundle for orthogonal and isotropic Grassmannians

We will work over $\mathbb C$. Let us consider a $n$-dimensional vector space $V$, then we define the $k$-th Grassmannian as $$ \mathbb G(k,V):=\{W \subset V : \dim W=k\}. $$ Then consider a non-...
0 votes
0 answers
161 views

Projectivization of the normal bundle of $\mathbb P^4$ in the 10-spinor variety

Let $X=S_{10} \subset \mathbb P^{15}$ be the 10-dimensional spinor variety in its minimal embedding. Consider a $\mathbb P^4 \subset S_{10}$, hence we can define the normal bundle $N=N_{\mathbb P^4|S_{...