February 1969
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15 Reads
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97 Citations
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... A first approach to computing the cohomology of Sym n,k comes from understanding the inductive pointcounting formula, which was elegantly computed for all n, k ∈ N (and for all primes p) in [Mac69] via "a heroic piece of elementary algebra" and in a way such that "the most sophisticated mathematical notion used is that the row rank of a matrix equals the column rank." One can promote this formula to a statement about the isomorphism class of [Sym n,k ] in the Grothendieck ring of varieties, K 0 (Var K ). ...
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February 1969