Symmetric tensors with applications to Hilbert schemes

Details Symmetric tensors with applications to Hilbert schemes Symmetric tensors with applications to Hilbert schemes

1999-12-17

arxiv.org/abs/math/9912141v1

Mathematics

Algebraic Geometry

Scientific paper

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 {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
$\text{Symm}^{n-1}_A(A[X]_U)\times_A \text{Spec}(A[X]_U)$.

Affiliated with

Also associated with

No associations

Rating

Symmetric tensors with applications to Hilbert schemes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetric tensors with applications to Hilbert schemes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetric tensors with applications to Hilbert schemes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-245095