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Questions tagged [hilbert-polynomial]

For question about hilbert polynomial in commutative algebra.

4
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1answer
148 views

Ideal associated to a set of points of $\mathbb{P}^n$ in general position

In The homogeneous ideal of $2n$ points in general position in $\mathbb{P}^n$, we let $\Gamma$ be a set of $d=2n$ points in general position in $\mathbb{P}^n$, and we want to show that the associated ...
5
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1answer
725 views

Usefulness of the notion of Hilbert scheme in algebraic geometry.

Could someone tell me why and how Hilbert schemes and relative Hilbert schemes are important and useful in algebraic geometry? Could anyone give me some applications of this notion in concrete terms? ...