Peize Liu

collaborators

3 papers

math.AG2026

Notes on the Kuznetsov component of cubic sevenfolds

Peize Liu

Let $Y$ be a cubic 7-fold. When $Y$ is smooth, its Kuznetsov component is a Calabi-Yau category of dimension 3, and we construct an embedding of the Kuznetsov component into the de…

quant-ph2025

Entanglement Sum Rule from Higher-Form Symmetries

Pei-Yao Liu

We prove an entanglement sum rule for $(d - 1)$ -dimensional quantum lattice models with finite abelian higher-form symmetries, obtained by minimally coupling a sector on $p$ -simplice…

math.AG2025

Stability conditions and moduli spaces on the Kuznetsov component of cubic fivefolds

Peize Liu

We study the Kuznetsov component of a smooth cubic fivefold. Using a quadric surface fibration, we construct a family of Serre-invariant Bridgeland stability conditions on the Kuzn…