2007 Spring
Ali Sinan
Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121
Office Hours: Monday 13:40-15:30 or by appointment
Schedule:
| MONDAY | 10:40-12:30 | SAZ-20 |
| THURSDAY | 09:40-10:30 | SAZ-20 |
Text Book: Undergraduate Algebraic Geometry, Miles Reid. London Mathematical Society Students Texts 12, Cambridge University Press, 1988.
Suplementary Textbook: Algebraic Geometry, Robin Hartshorne, Springer-Verlag, 1977 (Only the first chapter).
Syllabus:
Affine and projective plane, conics and cubics
Hilbert basis, Noetherian normalization, Zariski topology, nullstellensatz
Affine varieties and morphisms
Ideals, Grobner bases, complete intersections
Projective varieties and morphisms
Quadratics, Veronese varieties
Quasiprojective varieties ans products of varieties
Blow up and resolution of singularities
Branch of a curve and Arf theory
Hilbert polynomial
Intersection in projective space
Grading and Exams:
| Midterm 1 | 25% | around week 5 | ||||
| Midterm 2 | 25% | around week 10 | ||||
| Homework | 25% | |||||
| Final | 25% |
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.
| Lecture Notes | Last updated: 28 February 2007 |