[ 201SYMRCAGV20 ] VL Commutative algebra and algebraic geometry

Es ist eine neuere Version 2022W dieser LV im Curriculum Bachelor's programme Technical Mathematics 2022W vorhanden.
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
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 final written or oral exam
Methods lecture
Language English
Study material book Cox,Little,O‘Shea
lecture notes in the web
Changing subject? No
On-site course
Maximum number of participants -
Assignment procedure Direct assignment