7 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
Brill-Noether theory of Hilbert schemes of points on surfaces
Arend Bayer, Huachen Chen, Qingyuan Jiang
We show that Brill--Noether loci in Hilbert scheme of points on a smooth connected surface are non-empty whenever their expected dimension is positive, and that they are irredu…
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…
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…