Abstract
For any field $k$, we give an algebraic description of the category
$Perv_S(S^n (C^2),k)$ of perverse sheaves on the
$n$-fold symmetric product of the plane $S^n(C^2)$ constructible with
respect to its natural stratification and with coefficients in $k$. As part of
our description we obtain an analogue of modular Springer theory for the
Hilbert scheme $Hilb^n(C^2)$ of $n$ points in the plane with
its Hilbert-Chow morphism.
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