Jie Liu

collaborators

7 papers

math.RT2026

A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction

Baohua Fu, Jie Liu

We establish a novel connection between the minimal nilpotent orbit $O_{n}$ in $sl_{n}$ and the minimal nilpotent orbit closure $O_{n}$ in $\mathf…

math.AG2026

Hamiltonian reductions as affine closures of cotangent bundles

Baohua Fu, Jie Liu

Let $Y$ be an irreducible non-singular affine $G$ -variety with a $2$ -large action. We show that the Hamiltonian reduction $T^{*} Y / / / G$ is a symplectic variety with terminal s…

math.AG2026

The affine closure of cotangent bundles of horospherical spaces

Baohua Fu, Jie Liu

For a smooth quasi-affine variety $X$ , the affine closure $T^{*} X := Spec (K [T^{*} X])$ contains $T^{*} X$ as an open subset, and its smooth locus carries a sympl…

math.RT2025

Cohomology of Lie conformal algebroids

Alberto De Sole, Jiefeng Liu, Daniele Valeri

We study Lie conformal algebroids (LCAd) and their representations using the language of lambda-brackets and Lie conformal algebras. We describe several general constructions, such…

math.AG2025

Symplectic singularities arising from algebras of symmetric tensors

Baohua Fu, Jie Liu

The algebra of symmetric tensors $S (X) := H^{0} (X, S^{∙} T_{X})$ of a projective manifold $X$ leads to a natural dominant affinization morphism $$ Ï_X: T^*X \longrightarrow…

math.AG2025

Intersection of two quadrics: modular interpretation and Hitchin morphism

Vladimiro Benedetti, Andreas HÃ¶ring, Jie Liu

The cotangent bundle $T^{*} X$ of a smooth intersection $X$ of two quadrics admits a Lagrangian fibration determined by the intrinsic geometry of $X$ . We show that this fibration is a…