Zhi-Yu Liu

collaborators

3 papers

math.AG2025

Stability conditions on Calabi-Yau threefolds via Brill-Noether theory of curves

Soheyla Feyzbakhsh, Naoki Koseki, Zhiyu Liu +1

Fix a polarised Calabi-Yau threefold $(X, H)$ . We reduce a version of the Bayer-Macrì-Toda conjecture for $(X, H)$ , which ensures the existence of Bridgeland stability conditions on…

math.AG2023

Stability manifolds of Kuznetsov components of prime Fano threefolds

Changping Fan, Zhiyu Liu, Songtao Kenneth Ma

Let $X$ be a cubic threefold, quartic double solid or Gushel--Mukai threefold, and $K u (X) \subset D^{b} (X)$ be its Kuznetsov component. We show that a stability con…

math.AG2023

New perspectives on categorical Torelli theorems for del Pezzo threefolds

Soheyla Feyzbakhsh, Zhiyu Liu, Shizhuo Zhang

Let $Y_{d}$ be a del Pezzo threefold of Picard rank one and degree $d \geq 2$ . In this paper, we apply two different viewpoints to study $Y_{d}$ via a particular admissible subcategory…