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Support theorems for the relative Hilbert scheme of a family of planar curves.

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Luca Migliorini (Bologna)

What
  • SFB-Kolloquium
  • Master Class
When Feb 07, 2013
from 03:15 pm to 04:15 pm
Where Mainz, 05-432 (Hilbertraum)
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Abstract: In the first part I will discuss an analogue of Ngo's support theorem for the relative Hilbert scheme of a family

of irreducible planar curves, which gives as a corollary a "MacDonald's formula for singular curves", 
relating the cohomology of the Hilbert scheme of a singular integral plane curve to the cohomology of its compactified Jacobian. Then I will discuss what happens for reducible (but reduced) planar curves.
The first part is work in collaboration with V.Shende, the second is work in progress with V.Shende and F.Viviani.
 
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