# AG from the Beginning

Here’s an index of all of the AG from the Beginning articles.  I reordered a little bit for coherent topics, and don’t THINK that I screwed up any dependencies (ie, anything should be understood in terms of things higher up on the page than it), but if I did, let me know and I’ll fix it.

Basic Set Up

Projective Geometry

Intrinsic Geometry

Computational Geometry

Relative Geometry

Linear Systems

Abstract Algebraic Geometry

Cohomology

Curves

Schubert Calculus

Resolution of Singularities

Hilbert Schemes

Matt’s Series on Group Schemes and Moduli

Matt’s Post on Rational Varieties

Matt’s Series on Grothendieck-Riemann-Roch

The Hilbert Polynomial Explained

### 14 Responses to AG from the Beginning

1. Thanks a lot, this is exactly what I asked for :-)

Now I’m happy, learning your stuff.

2. Pingback: » Math 2.0 (Konrad Voelkel's Blog)

3. Pingback: 2 good resources « Discovering Math

4. lucasbraune says:

This is rather nice and useful. Well done!

5. Amritasu Sinha says:

1. Very useful and informative.
2. I am very much helped.
3. Sir can you please give a hint as how do I think of a rank 2 bundle on an elliptic curve?

• Thanks, I’m glad people are still finding this blog useful, though I haven’t touched it in years. I’m no longer in mathematics so I don’t have any deep insights on rank 2 bundles on elliptic curves, but the main thing is that it’s a family of planes for each point on the curve. If there’s some vector space they all fit into (there should be for some finite N, though no clue how to bound it) then that means its a map from the elliptic curve to the Grassmannian. I vaguely recall something about vector bundles over abelian group schemes decomposing into direct sums of line bundles, but I can’t verify it. Good luck!

6. Anonymous says:

Thank you for compiling such an organised list of articles!! This is legit!!

7. Gomathy says:

This is really helpful, thanks a lot!