Duo Li

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math.AG2025

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

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…