Math 431 Algebraic Geometry
2008 Spring Semester

Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121

Office Hours:
Wednesday 13:40-15:30

Text Book:
1) Miles Reid, Undergraduate Algebraic Geometry, Cambridge University Press., 1988, corrected printing 2001.
2) Class notes will be provided on this site for additional material to be covered.

MON 13:40-15:30 SAZ20  
THU 13:40-14:30 SAZ20  




Subjects to be covered Chapter
1 11-13 Feb Plane conics I
2 18-20 Feb Plane cubics and the group law I
3 25-27 Feb Curves and their genus, an introduction I
4 3-5 Mar Affine varieties II & Notes
5 10-12 Mar Hilbert's zero theorem II & Notes
6 17-19 Mar Elementary topics from affine geometry Midterm II & Notes
7 24-26 Mar Projective varieties III & Notes
8 31 Mar-2 Apr Resolution of singularities III & Notes
9 7-9 Apr Curve singularities Notes
10 14-16 Apr Arf rings and Arf closure  Midterm Notes
11 21 Apr Curves and Riemann inequality Notes
12 28-30 Apr Riemann-Roch theorem Notes
13 5-7 May Hurwitz theorem Notes
14 12-14 May Hyperelliptic curves Notes
15 20 May Existence of curves of any genus Notes

Grading and Exams:
Homework problems will be assigned regularly.
You are encouraged to discuss solutions with your friends but you must write your homework yourself.
It is not acceptable to borrow your friend's written homework or for that matter to lend your written version.
Writing should be private.
However until that stage you may and in fact you should discuss solutions with your friends, and even with me.

Midterm 1 20%  27 March 2008, 13:40, SAZ20 Solutions
Midterm 2 20%  14 April 2008, 13:40, SAZ20 Solutions
Final 30%  21 May 2008, 9:00 SAZ01 Solutions
Homeworks 30%    

All homeworks and solutions will be announced here  in Acrobat format (pdf) for which you need to download Acrobat Reader if that is not already installed on your machine.

For old exams and homeworks see my all courses page.

Here are my class notes. Read them gently and report any errors, inaccuracies, ambiguities or suggestions to me.