Xiaolei Zhao

collaborators

3 papers

math.AG2024

Higher dimensional moduli spaces on Kuznetsov components of Fano threefolds

Chunyi Li, Yinbang Lin, Laura Pertusi +1

We study moduli spaces of stable objects in the Kuznetsov components of Fano threefolds. We prove a general non-emptiness criterion for moduli spaces, which applies to the cases of…

math.AG2024

Fully faithful functors, skyscraper sheaves, and birational equivalence

Chunyi Li, Xun Lin, Xiaolei Zhao

Let $X$ and $Y$ be two smooth projective varieties such that there is a fully faithful exact functor from $D^{b} (Coh (X))$ to $D^{b} (Coh (Y))$ . We show that $X$ and $Y$ …

math.AG2024

Some remarks about deformation theory and formality conjecture

Huachen Chen, Laura Pertusi, Xiaolei Zhao

Using the algebraic criterion proved by Bandiera, Manetti and Meazzini, we show the formality conjecture for universally gluable objects with linearly reductive automorphism groups…