2 papers
math.AG2026
Hochschild-Kostant-Rosenberg isomorphism for derived Deligne-Mumford stacks
Lie Fu, Mauro Porta, Sarah Scherotzke +1
We prove a Hochschild--Konstant--Rosenberg (HKR) theorem for arbitrary derived Deligne--Mumford (DM) stacks, extending the results of Arinkin-CÄldÄraru-Hablicsek in the smooth, g…
math.AG2024
Twisted Hodge groups and deformation theory of Hilbert schemes of points on surfaces via Hodge modules
Lie Fu
Given a smooth compact complex surface together with a holomorphic line bundle on it, using the theory of Hodge modules, we compute the twisted Hodge groups/numbers of Hilbert sche…