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This paper considers a tiny modification of Justin Campbells construction of the Kontsevich compactification in cite{[Camp]}. We construct a resolution of singularities of Drinfeld compactification with an Iwahori structure and use it to prove the universally local acyclity of !-extension D-module on the Drinfeld compactification with an Iwahori structure.
Let $X$ be a complex, irreducible, quasi-projective variety, and $pi:widetilde Xto X$ a resolution of singularities of $X$. Assume that the singular locus ${text{Sing}}(X)$ of $X$ is smooth, that the induced map $pi^{-1}({text{Sing}}(X))to {text{Sing
Let $Y$ be a complex projective variety of dimension $n$ with isolated singularities, $pi:Xto Y$ a resolution of singularities, $G:=pi^{-1}{rm{Sing}}(Y)$ the exceptional locus. From Decomposition Theorem one knows that the map $H^{k-1}(G)to H^k(Y,Yba
We study moduli spaces of abelian varieties in positive characteristic, more specifically the moduli space of principally polarized abelian varieties on the one hand, and the analogous space with Iwahori type level structure, on the other hand. We in
Let $Y$ be a complex projective variety of dimension $n$ with isolated singularities, $pi:Xto Y$ a resolution of singularities, $G:=pi^{-1}left(rm{Sing}(Y)right)$ the exceptional locus. From the Decomposition Theorem one knows that the map $H^{k-1}(G
Over the past two decades, there has been much progress on the classification of symplectic linear quotient singularities V/G admitting a symplectic (equivalently, crepant) resolution of singularities. The classification is almost complete but there