[ 201SYMRCAGV20 ] VL Commutative algebra and algebraic geometry
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| Es ist eine neuere Version 2022W dieser LV im Curriculum Bachelor's programme Technical Mathematics 2022W vorhanden. |
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| Workload |
Education level |
Study areas |
Responsible person |
Hours per week |
Coordinating university |
| 3 ECTS |
B3 - Bachelor's programme 3. year |
Mathematics |
Franz Winkler |
2 hpw |
Johannes Kepler University Linz |
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| Detailed information |
| Original study plan |
Bachelor's programme Technical Mathematics 2020W |
| Objectives |
Understanding of algebraic curves and surfaces, and the corresponding polynomial ideals
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| Subject |
polynomial ideals (resultants, Groebner bases, Hilbert‘s Basis Theorem)
algebraic sets
Hilbert‘s Nullstellensatz
projective geometry
functions on varieties
algebraic curves (singularities)
rational parametrization of curves
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| Criteria for evaluation |
final written or oral exam
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| Methods |
lecture
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| Language |
English |
| Study material |
book Cox,Little,O‘Shea
lecture notes in the web
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| Changing subject? |
No |
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| On-site course |
| Maximum number of participants |
- |
| Assignment procedure |
Direct assignment |
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