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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 . We reduce a version of the Bayer-Macrì-Toda conjecture for , 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 be a cubic threefold, quartic double solid or Gushel--Mukai threefold, and 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 be a del Pezzo threefold of Picard rank one and degree . In this paper, we apply two different viewpoints to study via a particular admissible subcategory…