Local structure of the Hilbert scheme of conics in quintic del Pezzo varieties

Kiryong Chung, Bomyeong Kim, Minseong Kwon

Let $X$ be the quintic del Pezzo $4$-fold. It is very well-known that $X$ is realized by a smooth linear section of Grassmannian $\mathrm{Gr}(2,5)$. In this paper, we prove that th…