Does anyone have a link to Hilbert's Original Proof of the Nullstellensatz, or know a book where it's printed? I'd be interested to see what it was like. I only really know the Noether normalisation and Zariski proofs. While these are both good, it would be nice to have it 'from the horse's mouth'!

Many thanks in advance.

  • $\begingroup$ Wikipedia hints that it's Hilbert, David (1890), "Ueber die Theorie der algebraischen Formen", Mathematische Annalen 36 (4): 473–534, doi:10.1007/BF01208503, but I haven't found it after a quick look at the paper (and I don't know German). $\endgroup$
    – lhf
    Aug 21, 2012 at 22:49
  • $\begingroup$ It's probably in Hilbert's collected works: Gesammelte Abhandlungen, volume 2 on Algebra. $\endgroup$
    – lhf
    Aug 21, 2012 at 23:02

1 Answer 1


According to Eisenbud, Hilbert's Nullstellensatz can be found in:

The statement of the theorem appears at the bottom of p. 320, if I'm not mistaken. (I don't read German, however!)

  • 1
    $\begingroup$ I am able to read German and I can confirm your finding. Very good reference, thank you! $\endgroup$ Aug 22, 2012 at 7:44
  • 6
    $\begingroup$ An anonymous user suggested an edit that was rejected just before I could accept it, so I took the liberty of incorporating it because I found it useful, as not everyone has access to the Springer Link articles. $\endgroup$
    – t.b.
    Aug 22, 2012 at 9:15
  • $\begingroup$ Fantastic - thanks very much! $\endgroup$ Aug 22, 2012 at 13:14
  • $\begingroup$ Here is an English translation. $\endgroup$ Mar 6, 2023 at 8:57

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