Jie Liu

activity

20242026

collaborators

6 papers

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.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

Intersection of two quadrics: modular interpretation and Hitchin morphism

Vladimiro Benedetti, Andreas Höring, 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…

math.RT2025

Cohomology of Restricted Poisson algebras in characteristic 2

Sofiane Bouarroudj, Quentin Ehret, Jiefeng Liu

In this paper, we study restricted Poisson algebras in characteristic 2 and their relationship with restricted Lie-Rinehart algebras, for which we develop a cohomology theory and i…

math.AG2025

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.AG2024

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 $$ φ_X: T^*X \longrightarrow \…