Ruoxi Li

collaborators

3 papers

math.AG2026

Minimal Trivializing Isogenies of $G_{m}$ -gerbes over Abelian Varieties and Period-Index Problem

Ruoxi Li

For an abelian variety $X$ and $I^\pm \in B r (X)$ , we propose a new invariance $I n d_{S H} (I^\pm)$ that refines the known period index relations. It is closely related to the geometry of $\m…

math.RT2026

Invariant Algebraic Connections on Connected Reductive Groups

Rudrendra Kashyap, Ruoxi Li

Let $G$ be a connected complex reductive algebraic group. We study finite-rank flat algebraic connections on trivial vector bundles whose connection forms are left invariant, allow…

math.RT2025

Weyl-invariant subspaces are (usually) not generic

Riku Kurama, Ruoxi Li, Henry Talbott +1

Let $V$ be a linear representation of a connected complex reductive group $G$ . Given a choice of character $I^¸$ of $G$ , Geometric Invariant Theory defines a locus $V^{ss}_Î¸(G) \su…

Minimal Trivializing Isogenies of Gm​-gerbes over Abelian Varieties and Period-Index Problem

Invariant Algebraic Connections on Connected Reductive Groups

Weyl-invariant subspaces are (usually) not generic

Minimal Trivializing Isogenies of $G_{m}$ -gerbes over Abelian Varieties and Period-Index Problem