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Results tagged with hilbert-function
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user 146401
For questions on the Hilbert function and Hilbert polynomial of graded algebras over fields.
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Computing the Hilbert series of an irreducible component of a complete intersection
There's a nice formula for the Hilbert series of any complete intersection of hypersurfaces $X_1\cap\cdots\cap X_i\subseteq\mathbb{P}^n$ in terms of the degrees of $X_1,\ldots,X_i$. Is there a way to …
- 573
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Is the Hilbert series of an ideal related to the Hilbert series of its homogenization?
Suppose we have a field $k$ of characteristic 0, let $I$ be an ideal of $R=k[x_1,...,x_n]$, and let $H$ be the homogenization of $I$ in $S=R[z]$. Is there any relationship between the Hilbert series o …
- 573