On Hilbert’s Nullstellensatz (a non HW post)


Just to kick things off…

I just thought that I’d like to point out a blog entry of Terry Tao’s on the Hilbert Nullstellensatz. It makes for interesting reading and also takes (what I think is) a more concrete approach, eschewing the formidable algebraic machinery that took us nearly 2 weeks to cover.

Click on the Link

Also, Wikipedia has a nice entry on the theorem, with an auxilary entry on the Rabinowitsch trick.

If you click here, you’ll find an expository paper of Richard Swan based on an ‘elementary’ proof of the Nullstellensatz by Ritabrata Munshi. I particularly like the way how different approaches all give us different interpretations of the Nullstellensatz itself.

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