Jie Liu

activity

20232026

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4 papers · 1 filter

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.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.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 \…