ASKSAGE: Sage Q&A Forum - Individual question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Tue, 30 Oct 2018 08:02:19 -0500compute first (and only first) values of Hilbert functionhttp://ask.sagemath.org/question/44073/compute-first-and-only-first-values-of-hilbert-function/ 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
<pre><code>QQ[['x']](I.hilbert_series()(x)</code></pre>
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?Fri, 26 Oct 2018 01:42:32 -0500http://ask.sagemath.org/question/44073/compute-first-and-only-first-values-of-hilbert-function/Comment by heluani for <p>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 </p>
<pre><code>QQ[['x']](I.hilbert_series()(x)</code></pre>
<p>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?</p>
http://ask.sagemath.org/question/44073/compute-first-and-only-first-values-of-hilbert-function/?comment=44120#post-id-44120There 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.Tue, 30 Oct 2018 08:02:19 -0500http://ask.sagemath.org/question/44073/compute-first-and-only-first-values-of-hilbert-function/?comment=44120#post-id-44120Comment by tmonteil for <p>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 </p>
<pre><code>QQ[['x']](I.hilbert_series()(x)</code></pre>
<p>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?</p>
http://ask.sagemath.org/question/44073/compute-first-and-only-first-values-of-hilbert-function/?comment=44074#post-id-44074Could you please provide the construction of `I` and `x` ?Fri, 26 Oct 2018 05:08:11 -0500http://ask.sagemath.org/question/44073/compute-first-and-only-first-values-of-hilbert-function/?comment=44074#post-id-44074