Algebraic Geometry (ΓΕ7)
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- Graduate Courses Outlines
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General
| School | School of Science |
|---|---|
| Academic Unit | Department of Mathematics |
| Level of Studies | Graduate |
| Course Code | ΓΕ7 |
| Semester | 2 |
| Course Title | Algebraic Geometry |
| Independent Teaching Activities | Lectures (Weekly Teaching Hours: 3, Credits: 7.5) |
| Course Type | Special Background |
| Prerequisite Courses | - |
| Language of Instruction and Examinations |
Greek |
| Is the Course Offered to Erasmus Students | Yes (in English) |
| Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
| Learning outcomes |
The aim of the course is the postgraduate student to reach a good level of theoretical background on topics related to the algebraic geormetry. |
|---|---|
| General Competences |
The aim of the course is to empower the postgraduate student to analyse and compose advanced notions of Algebraic Geometry. |
Syllabus
Affine Varieties, Nullstellensatz, dimension, Regular and rational functions on Varieties, Projective varieties, birational geometry, tangent space and nonsingularity, divisors, differential forms, canonical class, Riemann-Roch theorem.
Teaching and Learning Methods - Evaluation
| Delivery |
Face-to-face | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Use of Information and Communications Technology | - | ||||||||||
| Teaching Methods |
| ||||||||||
| Student Performance Evaluation |
Written exam at the end of semester (obligatory), problem solving or/and intermediate exams (optional). |
Attached Bibliography
- Shafarevich, Igor R. Basic algebraic geometry 1, Varieties in Projective Space, Springer, 2013.
- Shafarevich, Igor R. Basic algebraic geometry 2, Schemes and Complex Manifolds, Springer, 2013.