| Code |
Course Name |
Language |
Type |
| MAT 498E |
Basic Algebraic Geometry |
English |
Elective |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
6 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 322 MIN DD
or MAT 322E MIN DD
|
| Class Restriction |
None |
| Course Description |
| Plane conics, plane cubics and the group law, Bezuot’s theorem genus of a curve, affine varieties, Hilbert’s basis theorem,
irreducibility, Hilbert’s Nullstellensatz, Noether normalisation lemma, coordinate rings, polynomial and rational maps,
morphisms, projective varieties, projective correspondences, Zariski topology of projective space, projective Nullstellensatz,
rational maps, morphisms and birational equivalence, product of varieties, smoothness, singularity, multiplicity, tangent space,
dimensions of algebraic varieties, resolution singularities , the 27 lines on a cubic surface. |
|
