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Results tagged with hilbert-function
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user 51663
For questions on the Hilbert function and Hilbert polynomial of graded algebras over fields.
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Hilbert function of points in $\mathrm{P}^2$
One can show that for every $m$ with $I_m\neq 0$, after a generic change of coordinates,
$$I_m = \langle f_{m1},\dots, f_{mj_m}\rangle \oplus x_3I_{m-1}, $$
s.th. the initial terms of $f_{m1},\dots, f …
- 4,484