mardi 20 janvier 2009

Chapter III

http://sites.google.com/site/alggeom/

Recently put up solutions to some of the exercises in Chapter III. More explicitly, there are solutions to:

2: 2, 3, 4, 5, 6
3: 1, 2, 3, 5, 7, 8
4: 1, 3, 5, 6, 7, 9, 11
5: 1, 4, 10
6: 1, 3, 4, 5, 6, 7, 8, 9
7: 3
8: 1, 2, 3
9: 1, 2, 7, 9

There are also some partial solutions to some of the other problems in Chapter III.

It also occurred to me that it would be more useful to have a list of the problems that I have put up solutions for, rather than those that I haven't. So here is the list of solutions that should be available at http://sites.google.com/site/alggeom/ for Chapter II:

1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
2: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 16, 17, 18, 19
3: 1, 2, 3, 4, 5, 6, 7, 9, 10, 13, 14, 16, 17, 18
4: 1, 2, 3, 4, 6, 8, 9
5: 2, 3, 4, 5, 6, 7, 8, 9, 10, 14, 15, 16
6: 1, 4, 11
7: 1, 2, 4, 5, 6, 7, 8, 9, 12
8: 1, 2, 3, 5, 6, 7, 8

That link again is: http://sites.google.com/site/alggeom/

5 commentaires:

utsav a dit…

in the solutionof chapter 2 section 5, problem 5.6 d , the N will be N = max {j_i} \times n.

only human a dit…

very helpfull.thank you.
I am fighting my way through the exercises.

SaM a dit…

Thank you very much !!

only human a dit…

I have a problem here.
In your solutions to Chapter II section 3's exercises.
At the end of the proof of Your lemma 2, you claim:"Now it can be check that A_f isomorphic to B_g for some f"
and so we are done.
But I think there only exists some f made Spec A_{ff'} equals to Spec B_g
as point set. but it does not guarantee there is a isomorphism for the ring.

Hom_C a dit…

Do you still want to complete this project? I can help and I'm willing to