| Course title | Algebraic Geometry |
|---|---|
| Course code | KAG/PGSAM |
| Organizational form of instruction | Lecture |
| Level of course | Doctoral |
| Year of study | not specified |
| Semester | Winter and summer |
| Number of ECTS credits | 5 |
| Language of instruction | Czech, English |
| Status of course | unspecified |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
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| Course content |
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Commutative algebra - what necessary, affine and projective closed sets (varieties), Zariski topology, ideals of manifolds, irreducible decompositions, Nulstellensatz, morphisms, presheaves and sheaves, schemes, cohomologies, divisors, curves, subspaces, intersection theory, birational geometry, Grassmannians, algebraic groups.
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| Learning activities and teaching methods |
| Lecture, Work with Text (with Book, Textbook) |
| Learning outcomes |
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Understand fundament of algebraic geometry.
5. Synthesis Summarize basic knowledge of algebraic geometry and applications |
| Prerequisites |
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Knowledge of the principles of the analytical geometry.
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| Assessment methods and criteria |
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Oral exam
Oral exam. |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester |
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