3 papers
math.AG2025
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-Căldăraru-Hablicsek in the smooth, glo…
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…
math.AG2023
Hochschild cohomology of Hilbert schemes of points on surfaces
Pieter Belmans, Lie Fu, Andreas Krug
We compute the Hochschild cohomology of Hilbert schemes of points on surfaces and observe that it is, in general, not determined solely by the Hochschild cohomology of the surface,…