3 papers
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…
math.AG2018
The Voisin map via families of extensions
Huachen Chen
We prove that given a cubic fourfold not containing any plane, the Voisin map constructed in \cite{Voi}, where is the variety o…
math.AG2018
O'Grady's Birational Maps via Wall-hitting
Huachen Chen
We observe that O'Grady's birational maps between moduli of sheaves on an elliptic K3 surface can be interpreted as intermediate wall-crossing (wall-hitting) transformations at the…