Hilbert's Original Proof of the Nullstellensatz

algebraic-geometry math-history reference-request

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.


Solution 1:

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

  • Hilbert, D. (1893). Über die vollen Invariantensysteme. Math. Ann. 42, pp. 313–373. Also freely available on the GDZ.

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

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