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The direct product of two Hilbert schemes of the same surface has natural K-theory classes given by the alternating Ext groups between the two ideal sheaves in question, twisted by a line bundle. We(More)
|S|=n a(S) m. Specifically, we present an explicit formula for F (m,n) as a product of two matrices, ultimately yielding a polynomial in q = pd. The first matrix is independent of n while the second(More)