compute first (and only first) values of Hilbert function

asked 2018-10-26 01:42:32 -0600

heluani gravatar image

I have an homogeneous ideal (say $I$) and I'm interested in computing the first few values of the Hilbert function. I undestand that doing something like

QQ[['x']](I.hilbert_series()(x)

does give me this, but this seems to require computing the whole Hilbert series which blows up for my problem quickly. Is there a way of getting the first few values without computing the whole thing?

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Comments

Could you please provide the construction of I and x ?

tmonteil gravatar imagetmonteil ( 2018-10-26 05:08:11 -0600 )edit

There is no previous definition of 'x' and I is a generic homogeneous ideal Ideal (x_11^3 + ... ) of Multivariate Polynomial Ring in x_11, x_21, x_31, x_12,..., x_26, x_36 over Rational Field.

heluani gravatar imageheluani ( 2018-10-30 08:02:19 -0600 )edit