Resolving mixed Hodge modules on configuration spaces

Abstract

this paper a natural (X=S; F ; n) of the sheaf j(n) ! j(n) F , whose underlying graded sheaf is a sum of terms of the form i(J) ! i(J) F , where i(J) is the closed immersion of a diagonal in X =S. This resolution has the important property that if F is an S n -equivariant sheaf (where the symmetric group S n acts on X =S by permuting the factors in the fibred product), the resolution is S n -equivariant as well