17 citations · 23 across the 6 of their papers we have counts for
4 papers · 1 filter
Hilbert schemes and symmetric products: a dictionary
Zhenbo Qin, Weiqiang Wang
Given a closed complex manifold of even dimension, we develop a systematic (vertex) algebraic approach to study the rational orbifold cohomology rings $\orbsym$ of the symmetri…
Hilbert schemes and W algebras
Wei-Ping Li, Zhenbo Qin, Weiqiang Wang
We construct geometrically the generating fields of a W algebra which acts irreducibly on the direct sum of the cohomology rings of the Hilbert schemes of n points on a projective…
Stability of the cohomology rings of Hilbert schemes of points on surfaces
Wei-Ping Li, Zhenbo Qin, Weiqiang Wang
We establish some remarkable properties of the cohomology rings of the Hilbert schemes of n points on a projective surface X, from which one sees to what extent these cohomology ri…
On the geometry of the Hilbert schemes of points in the projective plane
Wei-ping Li, Zhenbo Qin, Qi Zhang
We classify minimal-degree curves in the Hilbert schemes of points on algebraic surfaces. When the algebraic surface is the projective plane, the nef cone and a flip structure of t…