Algebraic geometry 2 Two cubic curves.

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It discusses two examples of cubic curves: a nodal cubic, and an elliptic curve.

[raymondchou]

"The easiest solution is to look in the back of the book"
duly noted

[jshtok]

These are wonderful lectures, fleshing out very interesting ideas. To use the fact a line intersects a cubic curve in 3 points to make it into a group - so cool!

[dontwannabefound]

these are some of the best lectures i have encountered, thank you so much prof Borcherds

[maths_nerd]

Thank you for these wonderful lectures.

[adenpower]

6:53 is me and the boys in the library.

[eyesyc]

Thanks professor. Concise and perfect.

[ulyssesgamingtv-digitronex]

Who came here bc of that reddit post, these classes are amazing!

[henrikljungstrand]

So does the torus have a natural abelian group structure, while the sphere only has a natural inverse structure?

[yatima]

I'm not sure how one gets the torus from x^3 + y^3 = 9, what is the procedure from an equation to a surface?

[beback_]

The fundamentals of Elliptic Curve Cryptography make so much more sense now.

[turtlecraft]

Here because I have attended half a semester of an algebraic geometry course and still clueless about what it means.