Xinyi Fang

activity

20232026

P^{m}

to flag varieties

1 citations · 1 across the 5 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.AG2026

Uniform non-homogeneous bundles on quadrics

Xinyi Fang, Yuhang Zhou

Let $X$ be an $n$ -dimensional generalized Grassmannian not isomorphic to $P^{n}$ . We prove that $k (X) \leq n - 1$ , where $k (X)$ denotes the maximal integer such that every unifo…

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.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…

math.AG2023★ 1 cited

Morphisms from $P^{m}$ to flag varieties

Xinyi Fang, Peng Ren

In this paper, we consider the morphisms from projective spaces to flag varieties. We show that the morphisms can only be constant under some special conditions. As a consequence,…

Uniform non-homogeneous bundles on quadrics

Uniform bundles on quadrics

Uniform bundles on generalised Grassmannians

Morphisms from Pm to flag varieties

Morphisms from $P^{m}$ to flag varieties