 | Study programme 2018-2019 | Français | |
 | Algebraic Geometry Project | ||
Activité d'apprentissage à la Faculty of Science |
| Code | Lecturer(s) | Associate Lecturer(s) | Subsitute Lecturer(s) et other(s) |
|---|---|---|---|
| S-MATH-046 |
|
| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term |
|---|---|---|---|---|---|---|---|
| Français | Français | 30 | 0 | 90 | 0 | 0 | A |
Content of Learning Activity
Arithmetic of polynomial rings, modules, integrality, Noetherian rings, localisation.
Hilberts Nullstellensatz, Zariski topology, topological irreducibility, regular maps, products, rational maps, dimension, smoothness.
Projective space, projective and quasi-projective objects, morphisms.
Required Learning Resources/Tools
Not applicable
Recommended Learning Resources/Tools
S. Lang, Algebra, Graduate Texts in Mathematics 211, Springer-Verlag
M.F. Atiyah and I.G. Macdonald, Introduction to Commutative Algebra, Addison-Wesley
M. Reid, Undergraduate Algebraic Geometry, London Mathematical Society Student Texts, Cambridge University Press
I.R. Shafarevich, Basic Algebraic Geometry Volume 1, Springer-Verlag
D. Perrin, Géométrie Algébrique, CNRS Editions
Other Recommended Reading
Not applicable
Mode of delivery
- Face to face
Type of Teaching Activity/Activities
- Préparations, travaux, recherches d'information
Evaluations
The assessment methods of the Learning Activity (AA) are specified in the course description of the corresponding Educational Component (UE)