 | Study programme 2025-2026 | Français | |
| Algebraic Geometry Project | |||
Learning Activity |
| Code | Lecturer(s) | Associate Lecturer(s) | Subsitute Lecturer(s) et other(s) | Establishment |
|---|---|---|---|---|
| S-MATH-046 |
|
|
| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term |
|---|---|---|---|---|---|---|---|
| Français | Français | 24 | 24 | 72 | 0 | 0 | A |
Content of Learning Activity
Arithmetics 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
M.F. Atiyah and I.G. Macdonald, Introduction to Commutative Algebra, Addison-Wesley
D. Perrin, Géométrie Algébrique, CNRS Editions
Recommended Learning Resources/Tools
S. Lang, Algebra, Graduate Texts in Mathematics 211, Springer-Verlag
Other Recommended Reading
M. Reid, Undergraduate Algebraic Geometry, London Mathematical Society Student Texts, Cambridge University Press
I.R. Shafarevich, Basic Algebraic Geometry Volume 1, Springer-Verlag
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)
Location of learning activity
- Université de Mons - Mons
Location of assessment
- Université de Mons - Mons