Twisted Hodge numbers of Hilbert schemes of points on surfaces and deformation theory – Lie Fu (Université de Strasbourg)
mercoledì 16 apr 2025 1:00 PM — 2:00 PM Aula Seminari (Department of Mathematics) Seminars, Algebraic and Arithmetic Geometry Seminar
Given a compact complex surface and a line bundle on it, using the theory of Hodge modules, we compute all the twisted Hodge group of Hilbert schemes of points on with value in the line bundle naturally associated to , confirming an amended version of Boissière’s conjecture proposed in my previous work joint with Belmans and Krug. This result refines and generalizes various results obtained by Göttsche and his collaborators and has some new applications to the deformation theory of Hilbert schemes. arXiv:2412.09975.