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Total Cohomology of Hilbert schemes of Orbisurfaces I: Reduction to Stacky Loci
We generalize Nakajima's theory of Hilbert schemes of points on surfaces to Hilbert schemes of points on \textit{orbisurfaces}, and obtain initial factorization based on stratification by stabilizers. While the usual formula is retained for the trivial stabilizer stratum and for those strata of codi
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