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[ 201SYMRCAGU20 ] UE Commutative algebra and algebraic geometry
Versionsauswahl
Es ist eine neuere Version 2023W dieser LV im Curriculum Master's programme Computational Mathematics 2023W vorhanden.
(*) Unfortunately this information is not available in english.
Workload Education level Study areas Responsible person Hours per week Coordinating university
1,5 ECTS B3 - Bachelor's programme 3. year Mathematics Franz Winkler 1 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2020W
Objectives Understanding of algebraic curves and surfaces, and the corresponding polynomial ideals
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
Criteria for evaluation Exercises and projects
Language English
Study material book Cox,Little,O‘Shea
lecture notes in the web
Changing subject? No
Corresponding lecture (*)TM1WHUEKOMM: UE Kommutative Algebra und Algebraische Geometrie (1,5 ECTS)
Earlier variants They also cover the requirements of the curriculum (from - to)
TM1WHUEKOMM: UE Commutative algebra and algebraic geometry (2003S-2020S)
On-site course
Maximum number of participants 25
Assignment procedure Direct assignment