MATH 431 - Algebraic Geometry
is Algebraic Geometry
Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121
Office Hours: Wednesday 10:40-12:30, SA-121
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.|
|Attendance is a must. I will take attendance in class and take it seriously.|
Exams and Grading:
|Midterm 2 (*)||25%|
|(*) 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||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|
I used this book also in 2002. You can refer to that year's web page of Math 431 for old exams and homeworks.
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