MATH 431 - Algebraic Geometry
Spring 2011

What is Algebraic Geometry

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

Office Hours:
Wednesday 10:40-12:30, SA-121

Text Books:
Philip A. Griffiths, Introduction to Algebraic Curves, American Mathematical Society, 1989.

Recommended Text Books:
Robin Hartshorne, Algebraic Geometry,  (first chapter), Springer-Verlag GTM Vol 52, 1977.
Rick Miranda, Algebraic Curves and Riemann Surfaces, American Mathematical Society, 1995.
Frances Kirwan, Complex Algebraic Curves, Cambridge University Press, 1992.

This is a 3 credit course and we will  meet 2+1 hours each week. On Friday, the second hour, I will organize an optional student seminar on algebraic geometry, after which we will join the ODTU-Bilkent Algebraic Geometry Seminar, either here or at ODTU.
TUE 15:40-17:30 SAZ-18  
FRI 13:40-14:30 SAZ-18  


Attendance is a must. I will take attendance in class and take it seriously.


Exams and Grading:

Midterm 1 25%  Solutions      
Midterm 2 (*) 25%       
Final 25%  Solutions                                     
Homework 25%  HWK1-solutions  HWK2-solutions   HWK3-solutions
(*) Midterm 2 consisted of exercises 5.1, 5.2, 5.3 and 5.4 on pages 122-124. There are extensive hints after these exercises so I do not give a detailed solution here.





Subjects to be covered Chapter
1 Feb 1-Feb 4  Riemann Surfaces I
2 Feb 8-Feb 11  Functions and forms I
3 Feb 15-Feb 18  Poincare-Hopf formula I
4 Feb 22-Feb 25  Algebraic Varieties I
5 Mar 1-Mar 4  Singularities II
6 Mar 8  Review  
6    Midterm Exam I  
6 Mar 11  Weierstrass Polynomial II
7 Mar 15-Mar 18  Divisors II
8 Mar 22-Mar 25  Bezout theorem II
9 Mar 29-Apr 1  Riemann-Hurwitz theorem III
10 Apr 5-Apr 8  Genus formula III
  Apr 11-Apr 15  Spring break  
11 Apr 19-Apr 22  Riemann-Roch theorem IV
12 Apr 26  Genus 0 and 1 cases  
12    Midterm Exam II  
12 Apr 29  Higher genus cases IV
13 May 3-May 6  Abel's theorem V
14 May 10-May 13  Jacobi inversion theorem V


Old Exams:

I used this book also in 2002. You can refer to that year's web page of Math 431 for old exams and homeworks. 

Contact address is: