Symmetric tensors with applications to Hilbert schemes
Roy M. Skjelnes
Abstract
Let A[X]U be a fraction ring of the polynomial ring A[X] in the variable X over a commutative ring A. We show that the Hilbert functor HilbnA[X]U is represented by an affine scheme SymmnA(A[X]U) give as the ring of symmetric tensors of AnA[X]U. The universal family is given as Symmn-1A(A[X]U)×A Spec(A[X]U).
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