All Questions
Tagged with books ag.algebraic-geometry
16
questions
40
votes
13
answers
5k
views
Exposition of Grothendieck's mathematics
As Wikipedia says:
In Grothendieck's retrospective Récoltes et Semailles, he identified twelve of his contributions which he believed qualified as "great ideas". In chronological order, ...
8
votes
1
answer
461
views
Looking for 1986 book "Algebraic and topological theories"
I am looking for the proceedings book (in paper or electronic form):
Algebraic and topological theories, Papers from the symposium dedicated to the memory of Dr. Takehiko Miyata held in Kinosaki, ...
- 4,412
0
votes
0
answers
124
views
Books on algebraic groups over C with examples [duplicate]
I've been trying to learn about algebraic groups lately and I was wondering if there were any books/notes out there which: A. treat algebraic groups over the complex numbers, B. cover all the most ...
- 1,879
6
votes
0
answers
1k
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Are French, original editions of Grothendieck's EGA&SGA out of sales?
I have been desperately searching for the hardcopies of Grothendieck's EGA and SGA trilogy, but I could not find available sales except for some used books at Amazon with ridiculously expensive prices....
- 189
5
votes
0
answers
2k
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A course on modern algebraic geometry from "The Stacks Project"
I hope this question is viable for this site. I'm sincerely sorry, if you think it isn't.
For a lot of time, "EGA" by Alexander Grothendieck and Jean Dieudonne was "the" reference on the basics of ...
- 59
9
votes
5
answers
3k
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Good lecture notes/books on Jacobian of hyperelliptic curve
I want to understand what the Jacobian variety is from an algebraic (or arithmetic?) perspective.
I want to know:
What is the definition of the Jacobian?
Widely know facts about it.
Why the Jacobian ...
- 424
4
votes
9
answers
4k
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Functions of one complex variable: geometric theory
Can someone recommend a good textbook on functions of one complex variable which have good chapters on geometric theory, in English?
When I studied complex analysis, I used two
textbooks:
An ...
- 372
17
votes
0
answers
822
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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 ...
- 3,349
12
votes
2
answers
1k
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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 ...
- 669
1
vote
1
answer
2k
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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.
- 614
2
votes
2
answers
1k
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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 $\mathbb{P}^1_{\...
- 245
42
votes
7
answers
29k
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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 ...
32
votes
1
answer
26k
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 ...
- 1,983
75
votes
6
answers
9k
views
Errata to "Principles of Algebraic Geometry" by Griffiths and Harris
Griffiths' and Harris' book Principles of Algebraic Geometry is a great book with, IMHO, many typos and mistakes. Why don't we collaborate to write a full list of all of its typos, mistakes etc? My ...
249
votes
37
answers
173k
views
Best algebraic geometry textbook? (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 ...