What is algebraic geometry?

Comments · 346

• AN

  @andreben6224 · 8 months ago

  You know you're in the middle of the AG brainrot when you recognize the book in the background of the thumbnail (it's Qing Liu's Algebraic Geometry and Arithemtic Curves p.202-203)

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• SO

  @SoteriosXI · 2 years ago

  Please please please make more algebraic geometry or commutative algebra videos. These are really great!

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• DR

  @dr_ned_flanders · 8 months ago

  I feel this was like the how to draw an owl meme. It started off by "1. draw a circle" and then quickly went to, "2. and then draw the owl. "

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• JA

  @japedr · 2 years ago (edited)

  <a href="https://www.youtube.com/watch?v=MflpyJwhMhQ&amp;t=265">4:25</a><br>There is a typo I think: should be g(1,-1)=-2.<br>Aside from that, congrats for the really nice explanation.

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• OM

  @omegaminusfour · 2 years ago

  Wow, I don&apos;t think there is a better introduction to ideals in algebraic geometry.

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• JI

  @jieyuzhang7559 · 2 years ago

  Best advanced math education channel on YouTube. I struggled immensely with algebraic geometry in college. The definitions and concepts weren’t properly motivated. So I learned in a painfully mechanical way.

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• GI

  @gi99hf60 · 2 years ago (edited)

  <a href="https://www.youtube.com/watch?v=MflpyJwhMhQ&amp;t=265">4:25</a> should be g(1,-1) or any other non-zero yielding (x,y)

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• RY

  @RyeedAglan · 2 years ago

  An excellent introductory video. I should have watched it before I took algebraic geometry or read Gathmann&apos;s.

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• JA

  @jarahfluxman20 · 2 years ago

  As a mathematical physicist, the immediate question that popped into my brain is, &quot;How does this relate to differential geometry?&quot; For example, the curve having a self intersection in one of the examples, which corresponds to the ring not being an integral domain, manifests itself in differential geometry as the curve not being a manifold-ie no diffeomorphism with R around the intersection point.

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• CO

  @considerthehumbleworm · 2 years ago

  Small error but at <a href="https://www.youtube.com/watch?v=MflpyJwhMhQ&amp;t=267">4:27</a> I believe it should say g(1,-1)=-2 instead of g(1,1)=2

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• AA

  @aaronwolbach9880 · 2 years ago (edited)

  Ideals, Varieties and Algorithms is an outstanding book. But, you&apos;re gonna need to know how to use a computer to compute Groebner bases. You&apos;re going to struggle to learn the big ideas if you can&apos;t use MatLab or Mathematica.<br>I&apos;d also add as a suggestion, the Red Book of Varieties and Schemes as a pretty good text. Hartshorne of course, but that one is really tough.

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• MA

  @MasterHigure · 2 years ago (edited)

  Having basically only had Hartshorne through my university courses, a few recommendations on the lighter side is always welcome.

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