Support theorems for the relative Hilbert scheme of a family of planar curves.
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filed under:
SFBKolloquium,
Master Class
Luca Migliorini (Bologna)
What 


When 
Feb 07, 2013 from 03:15 pm to 04:15 pm 
Where  Mainz, 05432 (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.