 | Study programme 2020-2021 | Français | |
| Algebraic Geometry Project | |||
Learning Activity |
| Code | Lecturer(s) | Associate Lecturer(s) | Subsitute Lecturer(s) et other(s) | Establishment |
|---|---|---|---|---|
| S-MATH-046 |
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| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term |
|---|---|---|---|---|---|---|---|
| Français | Français | 30 | 0 | 90 | 0 | 0 | A |
| Organisational online arrangements for the end of Q3 2020-2021 assessments (Covid-19) |
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| Description of the modifications to the Q3 2020-2021 assessment procedures (Covid-19) |
| Course content assessed: unchanged. Assessment method: online or face-to-face presentation. |
Organisational arrangements for the end of Q2 2020-2021 assessments (Covid-19) online or face-to-face (according to assessment schedule)
- Oral exam (questions and answers, presentation of individual or group work, comment and argument about a written text...)
Description of the modifications to the Q2 2020-2021 assessment procedures (Covid-19) online or face-to-face (according to assessment schedule)
Course content assessed: unchanged.
Assessment method: online or face-to-face presentation.
Organisational arrangements for the end of Q1 2020-2021 assessments (Covid-19) online or face-to-face (according to assessment schedule)
- Oral exam (questions and answers, presentation of individual or group work, comment and argument about a written text...)
Description of the modifications to the Q1 2020-2021 online assessment procedures (Covid-19) online or face-to-face (according to assessment schedule)
Course content assessed: unchanged.
Assessment method: online presentation.
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
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
Recommended Learning Resources/Tools
Not applicable
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)