how (not) to prove Hilbert's Nullstellensatz
by math_explorer, Feb 9, 2015, 3:48 PM
I don't know why I find this so funny:
Hilbert's Nullstellensatz § Proof and generalization, Wikipedia
Um, ok, I don't know how to prove Hilbert's Nullstellensatz yet. Just reminding myself I think I should look up the stuff I'm studying on Wikipedia more often.
...okay, also maybe fishing for somebody who can explain to me what this Nullstellensatz has to do with the combinatorial one, beyond the obvious fact that they sort of have something to do with zeroes or nonzeroes of polynomials...
Hilbert's Nullstellensatz § Proof and generalization, Wikipedia
Quote:
There are many known proofs of the theorem. One proof is the following:
- Note that it is enough to prove Zariski's lemma: a finitely generated algebra over a field
that is a field is a finite field extension of . - Prove Zariski's lemma.
that is a field is a finite field extension of Um, ok, I don't know how to prove Hilbert's Nullstellensatz yet. Just reminding myself I think I should look up the stuff I'm studying on Wikipedia more often.
...okay, also maybe fishing for somebody who can explain to me what this Nullstellensatz has to do with the combinatorial one, beyond the obvious fact that they sort of have something to do with zeroes or nonzeroes of polynomials...
May 2020
January 2020