14
votes
0answers
606 views

Horrible sets and blowups in Hubbard's Teichmuller theory

Edit: I can rephrase this question this way: When blowing up every point in the $x$-axis in $\mathbb{C}^2$ by means of an inverse limit of finite blowups, how can anything be 'left over'? The horrible ...
9
votes
2answers
548 views

Tor sheaves: what do they tell us about geometry

Hi! I fear that I am up to ask a very vague question, but more than an answer I need a suggestion of references I should look up. I need to know everything about Tor sheaves and what do they tell ...
0
votes
1answer
894 views

Any two curves over k homeomorphic [closed]

Why are two curves over a field k homeomorphic? I have been able to prove that any variety of positive dimension over a field k has the same cardinality as k.
2
votes
2answers
771 views

Help with Griffiths & Harris, Surfaces

I believe to have found a typo in Griffiths & Harris. In the chapter on surfaces, section Rational Surfaces 1, I am trying to read the result that a holomorphic vector bundle over ...
21
votes
8answers
7k views

Undergraduate roadmap to algebraic geometry?

Hello, I'm sorry if this question isn't posted correctly. I hope that it is (since other questions regarding roadmaps have been allowed). Now to my question: From what I've heard from professors and ...
6
votes
0answers
5k views

Is an English translation of Grothendieck's EGA available?

I have always wondered whether there is an English translation of Grothendieck's EGA (Elements de Geometrie Algebrique) available. Does anyone know whether there is and if so where I can find it? If ...
5
votes
6answers
4k views

What books should I read before beginning Masaki Kashiwara's “Sheaves on Manifolds”

I am a beginner trying to learn about sheaves. I am trying to read Masaki Kashiwara's book "Sheaves on Manifolds", but I find it is not easy for me to understand. What other books should I read ...
76
votes
32answers
46k views

Best Algebraic Geometry text book? (other than Hartshorne)

I think (almost) everyone agrees that Hartshorne's Algebraic Geometry is still the best. Then what might be the 2nd best? It can be a book, preprint, online lecture note, webpage, etc. One suggestion ...
7
votes
8answers
2k views

Are good introductory/pedagogical problems in algebraic geometry rare?

I have just started reading Elementary Algebraic Geometry by Hulek. It is a nice book but I find that it doesn't give many problems (about 10 to 15 per chapter), and that the exercises present are a ...