Sommersemester 2016
Kommutative Algebra und Algebraische Geometrie
(Commutative Algebra and Algebraic Geometry)
(326.0KA lecture, 326.0UK exercises)
Prof. Dr. Franz Winkler
Time/Place:
| lecture: | | Tue | 14:30 - 16:00 | in | HS 11 |
| | Fri | 10:15 - 11:45 | in | HS 14 |
| exercises: | | Tue | 16:15 - 17:00 | in | HS 11 |
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| first lecture: | | Tue | 08.03.2016 |
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Classical algebraic geometry is the theory of algebraic curves,
surfaces, and varieties in higher dimensions. Nowadays, such
algebraic varieties are of high importance in computer aided
geometric design, computer vision, cryptography, and other areas.
The algebraic theory which allows us to compute with such varieties
is called commutative algebra. It is concerned with polynomial
equations, polynomial ideals, and polynomial and rational mappings.
Participants in the course are expected to be acquainted with basics
in (computer) algebra. Much of the material for this course will be
taken from the book
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J.R. Sendra, F. Winkler, S. Perez-Diaz, |
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Rational Algebraic Curves - A Computer Algebra Approach, |
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Springer-Verlag Berlin Heidelberg, 2008 (ISBN 978-3-540-73724-7) |
The exercise part consists of homework exercises and a project.
Lecture Notes:
Webpage: www.risc.uni-linz.ac.at/education/courses/ss2016/caag/
