# Martin Gulbrandsen: The dual cell complex of Hilbert scheme degenerations

Martin Gulbrandsen, UiS, gives the Seminar in Algebra and Algebraic Geometry

The dual cell complex of Hilbert scheme degenerations

Martin Gulbrandsen

Using a construction by Li and Wu, I will give examples of degenerations of Hilbert schemes of points, with good geometrical properties, induced by degenerations of the underlying variety. Applied to K3 surface degenerations, this gives a class of examples of degenerate hyperkähler manifolds. In this talk I will put some emphasis on understanding the combinatorial structure of the degenerate fibre. Based on joint work with Halle and Hulek.

Published Sep. 28, 2015 10:40 AM
- Last modified July 31, 2018 12:27 PM