Symmetric tensors with applications to Hilbert schemes

dc.creatorSkjelnes, Roy M.
dc.date1999-12-17
dc.date.accessioned2026-07-07T05:32:20Z
dc.date.available2026-07-07T05:32:20Z
dc.descriptionLet 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 {Hilb}^n_{A[X]_U} is represented by an affine scheme $\text{Symm}^n_A(A[X]_U)$ give as the ring of symmetric tensors of $\otimes_A^nA[X]_U$. The universal family is given as $\text{Symm}^{n-1}_A(A[X]_U)\times_A \text{Spec}(A[X]_U)$.
dc.identifierhttps://arxiv.org/abs/math/9912141
dc.identifierhttp://arxiv.org/abs/math/9912141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79626
dc.subjectAlgebraic Geometry
dc.titleSymmetric tensors with applications to Hilbert schemes
dc.typetext

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