Talk:Hilbert–Samuel function

Why isn't this article appearing when I search for "Hilbert-Samuel function" or "Hilbert Samuel function"?  franklin  01:50, 9 December 2009 (UTC)
 * It doesn't appear under the search box when you're typing because apparently not too many people often search for that. However, if you type "Hilbert–Samuel function" in and hit enter it will take you directly to this article.  IShadowed  ✰  01:54, 9 December 2009 (UTC)


 * (e/c) Hi Franklin. Because it's new and hasn't yet been indexed by Wikipedia. It can take even up to three weeks, though usually significantly faster. Google often spiders a page before Wikipedia has indexed it. The Go button will reach the article however. IShadowed is talking about the results of a search, and actually, search finds many links to this title.--Fuhghettaboutit (talk) 01:59, 9 December 2009 (UTC)

That's not why it didn't happen. It's because he used a hyphen, whereas the article's titled used a endash. I've now created a redirect page whose title uses the hyphen. Michael Hardy (talk) 03:06, 9 December 2009 (UTC)
 * The current page title, properly copied and searched with the en-dash, is not indexed and is accordingly not found through the search button. It's good that you discovered the issue of the hyphen verses the en-dash because if the questioner kept looking using the slightly different page title they would be fooled into thinking it hadn't been indexed even after it had, but indexing has not yet occurred.--Fuhghettaboutit (talk) 03:38, 9 December 2009 (UTC)

I think the example could be improved. For instance, I don't think 'graded by the order' is relevant. I also think that the example is not correct as stated. I think the example intended is : Choose the ring $$A$$ to be the power series ring $$kx,y$$,  the module $$M$$ to be the quotient $$A/(x^2, y^3)$$, and the ideal $$I$$ to be the maximal ideal $$I = (x,y)$$. With those choices one gets the sequence $$\chi(1)=1, \chi(2)=3, \ldots$$, given.

However, the stated example is to choose $$M = A$$, and $$I = (x^2,y^3)$$. In which case, one gets $$\chi(1) = 6, \chi(2) = 18, \chi(3) = 36$$, and in general $$\chi(k) = 3k(k+1)$$. (That would also be a fine example, probably even a better one, but not one which gives the chi's listed.) SpecZ (talk) 15:54, 4 September 2018 (UTC)