Yanjie Li

collaborators

3 papers

math.AG2024

Uniform bundles on quadrics

Xinyi Fang, Duo Li, Yanjie Li

We show that there exist only constant morphisms from $Q^{2 n + 1} (n \geq 1)$ to $G (l, 2 n + 1)$ if $l$ is even $(0 < l < 2 n)$ and $(l, 2 n + 1)$ is not $(2, 5)$ . As an applicati…

math.AG2024

Linear subspaces of the intersection of two quadrics via Kuznetsov component

Yanjie Li, Shizhuo Zhang

Let $Q_{i} (i = 1, 2)$ be $2 g$ dimensional quadrics in $P^{2 g + 1}$ and let $Y$ be the smooth intersection $Q_{1} \cap Q_{2}$ . We associate the linear subspace in $Y$ with vector bundl…

math.AG2023

Uniform bundles on generalised Grassmannians

Xinyi Fang, Duo Li, Yanjie Li

Let $E$ be a uniform bundle on an arbitrary generalised Grassmannian $X$ defined over $C$ . We show that if the rank of $E$ is at most $e . d . (VMRT)$ , then $E$ neces…